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Journal articles on the topic 'Lotka-Volterra cooperation model'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Qu, Jing Guo, Dong Hua Wang, Yu Huan Cui, and Ya Mian Peng. "The Study of the Competition Model of Portal and Search Engine." Applied Mechanics and Materials 50-51 (February 2011): 442–46. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.442.

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This paper is to discuss the competition and cooperation of portal and search engine mainly by building stability model. We can use Lotka-Volterra mutualism model to describe and build cooperation model of portal and search engine, and we can use Lotka-Volterra predator – prey model with Logistic items to describe and build competition model of portal and search engine.

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2

Wang, Sheng-Yuan, Wan-Ming Chen, and Xiao-Lan Wu. "Competition Analysis on Industry Populations Based on a Three-Dimensional Lotka–Volterra Model." Discrete Dynamics in Nature and Society 2021 (July 20, 2021): 1–15. http://dx.doi.org/10.1155/2021/9935127.

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The classical Lotka–Volterra model is mainly a two-dimensional configuration. The two-dimensional form limits the application scenarios of the Lotka–Volterra model. The research objective of this paper is to develop a feasible three population equilibrium model to analyze the industry competition. In order to expand the Lotka–Volterra model to empirical analysis, this paper proposes a symbiosis model of enterprise population based on a three-dimensional Lotka–Volterra model. This paper analyzes the symbiotic system from two aspects: the balanced development of three species and the competitive

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3

Tuladhar, Rohisha, Fidel Santamaria, and Ivanka Stamova. "Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior." Entropy 22, no. 9 (2020): 970. http://dx.doi.org/10.3390/e22090970.

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We present a biological fractional n-species delayed cooperation model of Lotka-Volterra type. The considered fractional derivatives are in the Caputo sense. Impulsive control strategies are applied for several stability properties of the states, namely Mittag-Leffler stability, practical stability and stability with respect to sets. The proposed results extend the existing stability results for integer-order n−species delayed Lotka-Volterra cooperation models to the fractional-order case under impulsive control.

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Rachmawati, Zahra Febrilia, Sutrima Sutrima, Ririn Setiyowati, and Vika Yugi Kurniawan. "ANALYSIS OF THE COOPERATIVE LOTKA-VOLTERRA MODEL IN THE CASE OF TWO AUTOMOTIVE INDUSTRIES IN INDONESIA." BAREKENG: Jurnal Ilmu Matematika dan Terapan 18, no. 1 (2024): 0295–302. http://dx.doi.org/10.30598/barekengvol18iss1pp0295-0302.

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The automotive industry sector is one of the main sectors contributing to the national economy. Companies in the automotive industry work together to increase productivity and win the market competition. This research aims to construct the cooperative interaction between two companies into the cooperative Lotka-Volterra model. The cooperative Lotka-Volterra model was analyzed for stability at the equilibrium point and bifurcation analysis was performed. Sales data for the Calya 1.2 G product from PT Toyota Motor Manufacturing Indonesia and sales data for the New Sigra 1.2 R MT product from PT

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Sterpu, Mihaela, Carmen Rocșoreanu, Georgeta Soava, and Anca Mehedintu. "A Generalization of the Grey Lotka–Volterra Model and Application to GDP, Export, Import and Investment for the European Union." Mathematics 11, no. 15 (2023): 3351. http://dx.doi.org/10.3390/math11153351.

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This study proposes a generalized grey Lotka–Volterra model with a finite number of variables. The model is obtained by applying the grey modelling method to estimate the parameters of a finite dimensional quadratic Lotka–Volterra system. Subsequently, the model is used to analyze the competition and cooperation relationship between four macroeconomic indicators, namely Gross Domestic Product, Export, Import and Investment, and to obtain short-time forecasting for them. The data used in the empirical investigation cover the time periods 2005–2022 and 2011–2022, for the European Union. The empi

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Li, Ruipu, Bo Yu, Siyuan Zhang, and Gang Wu. "Research on the Competitive and Cooperative Relationships of Urban Agglomerations Based on the Lotka–Volterra Model: A Case Study of the Guangdong–Hong Kong–Macao Greater Bay Area." Buildings 15, no. 7 (2025): 1078. https://doi.org/10.3390/buildings15071078.

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This study investigates the competitive and cooperative relationships within urban agglomerations, specifically focusing on the Guangdong–Hong Kong–Macao Greater Bay Area (GBA). Using the Lotka–Volterra model from ecology, the research aims to analyse and predict the dynamic relationships among cities in this area. The purpose is to understand how competition and cooperation influence regional integration, and their complex economic connections. This paper employs both qualitative and quantitative methods, including time-series analysis and the application of the Lotka–Volterra model, to evalu

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Chunhua, Feng. "Existence and Uniqueness of Positive Almost Periodic Solutions for a Class of Impulsive Lotka-Volterra Cooperation Models with Delays." British Journal of Mathematics & Computer Science 22, no. 2 (2017): 1–8. https://doi.org/10.9734/BJMCS/2017/29723.

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This paper discusses an almost periodic Lotka-Volterra cooperation system with time delays and impulsive e ects. By constructing a suitable Lyapunov functional, a sucient condition which guarantees the existence, uniqueness and uniformly asymptotically stable of almost periodic solution of this system is obtained. A new result has been provided. A suitable example indicates the feasibility of the criterion.

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8

Wang, Zheng-Xin, and Hong-Tao Zhu. "Testing the trade relationships between China, Singapore, Malaysia and Thailand using grey Lotka-Volterra competition model." Kybernetes 45, no. 6 (2016): 931–45. http://dx.doi.org/10.1108/k-04-2015-0110.

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Purpose – Since the construction of China-ASEAN Free Trade Area (CAFTA) launched in 2002, the bilateral trade increased rapidly. The purpose of this paper is to test the competition and cooperation in trade relationships between China and the main trading partners (Singapore, Malaysia and Thailand (SMT)) from ASEAN in international trade under CAFTA. Design/methodology/approach – Grey Lotka-Volterra competition models are established for testing the trade relationships between China and SMT, respectively, based on the data of import and export from 2003 to 2014. To improve modeling accuracy, t

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9

Shi, Binbin, Yu Li, Tingting Liang, et al. "The Evolution of Service Ecosystems Based on the Lotka–Volterra Model." Applied Sciences 15, no. 10 (2025): 5403. https://doi.org/10.3390/app15105403.

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Diversification and business expansion have become key strategies for modern business development, prompting many large companies to move from singular service models to diversified service strategies, ultimately evolving into comprehensive service ecosystems. Therefore, an in-depth understanding of the evolutionary patterns of service ecosystems is crucial for formulating efficient and effective management strategies and helping enterprises to make informed decisions during the service innovation process. At present, research on the evolution of service ecosystems largely lacks sufficient the

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10

Carfora, Maria Francesca, and Isabella Torcicollo. "Traveling Band Solutions in a System Modeling Hunting Cooperation." Mathematics 10, no. 13 (2022): 2303. http://dx.doi.org/10.3390/math10132303.

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A classical Lotka–Volterra model with the logistical growth of prey-and-hunting cooperation in the functional response of predators to prey was extended by introducing advection terms, which included the velocities of animals. The effect of velocity on the kinetics of the problem was analyzed. In order to examine the band behavior of species over time, traveling wave solutions were introduced, and conditions for the coexistence of both populations and/or extinction were found. Numerical simulations illustrating the obtained results were performed.

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Lagui, Thierry Bi Boua, Mouhamadou Dosso, and Gossouhon Sitionon. "An Analysis of Some Models of Prey-predator Interaction." WSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE 21 (March 11, 2024): 93–107. http://dx.doi.org/10.37394/23208.2024.21.10.

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Biological models of basic prey-predator interaction have been studied. This consisted, at first, in analyzing the basic models of population dynamics such as the Malthus model, the Verhulst model, the Gompertz model and the model with Allee effect ; then, in a second step, to analyze the Lotka-Volterra model and its models improved by taking into account certain important hypotheses such as competition and/or cooperation between species, existence of refuge for prey and migration of species. For each population evolution model presented, a numerical illustration was made for its verification.

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12

Hu, Haijun, Litian Deng, and Jianhua Huang. "Traveling wave of a nonlocal dispersal Lotka-Volterra cooperation model under shifting habitat." Journal of Mathematical Analysis and Applications 500, no. 1 (2021): 125100. http://dx.doi.org/10.1016/j.jmaa.2021.125100.

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13

Sk, Nazmul, Bapin Mondal, Abhijit Sarkar, Shyam Sundar Santra, Dumitru Baleanu, and Mohamed Altanji. "Chaos emergence and dissipation in a three-species food web model with intraguild predation and cooperative hunting." AIMS Mathematics 9, no. 1 (2023): 1023–45. http://dx.doi.org/10.3934/math.2024051.

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<abstract><p>We explore the dynamics of a three-species Lotka-Volterra model incorporating intraguild (IG) predation. The model encompasses interactions between a basal prey, intraguild prey and omnivorous top/intraguild predator. These interactions are characterized by linear functional responses, while considering intraspecific competition and cooperative hunting dynamics. The study involves a comprehensive stability of different steady states and bifurcation analysis. Bifurcation structures unveil shifts in equilibrium stability and the emergence of new equilibrium states. Inves

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Lei, Zhiyi, Yifan Zhu, and Liling Chen. "Competition and Cooperation Relationships of Multi-category Ports Based on the Improved L-V Model." E3S Web of Conferences 79 (2019): 03008. http://dx.doi.org/10.1051/e3sconf/20197903008.

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The improved Lotka-Volterra model for the multi-goods of the multi-ports is proposed based on the competition of kinds of ecological populations in nature. Based on the analysis of the current throughput, annual average growth rate, potential throughput growth space, and the impacts of other port cargo throughput, the model establishes a competition coefficient matrix to determine the competitive cooperation model between different ports. The model is used to analyze the competition and cooperation relationship of different cargo types in four ports of Fujian. The results show that the model c

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15

Wu, Xiao-Lan, Sheng-Yuan Wang, Ya-Zhen Liu, Jing Liang, and Xin Yu. "Competition Equilibrium Analysis of China’s Luxury Car Market Based on Three-Dimensional Grey Lotka–Volterra Model." Complexity 2021 (December 23, 2021): 1–14. http://dx.doi.org/10.1155/2021/7566653.

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An enterprise must be able to conduct in-depth analysis of the existing data as the information has certain grey characteristics, if it wants to occupy a dominant position in the fierce market competition. In this paper, a compound three-dimensional grey Lotka–Volterra model is developed to carry out the grey transformation of the original data, so that the data can have better simulation accuracy, and the observation noise of the original data can be reduced. The competitive situation analysis based on the three-dimensional grey Lotka–Volterra model can help enterprises better understand the

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Zeng, Yi, and Beijun Chu. "The Appropriate Scale of Competition Between Online Taxis and Taxis Based on the Lotka-Volterra Evolutionary Model." Journal of Combinatorial Mathematics and Combinatorial Computing 117 (December 31, 2023): 25–36. http://dx.doi.org/10.61091/jcmcc117-03.

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In order to determine the optimal scale for urban ride-hailing services and taxis while promoting their sustainable growth, we have developed a Lotka-Volterra evolutionary model that accounts for the competitive, cooperative, and mixed dynamics between these two entities. This model is rooted in the theory of synergistic evolution and is supported by data simulation and analysis. By employing this model, we can identify the appropriate size for urban ride-hailing services and taxis when they reach equilibrium under different environmental conditions. The study’s findings reveal that the evolut

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Ibrahim, L. R., and D. K. Bahlool. "Exploring the Role of Hunting Cooperation, and Fear in a Prey-Predator Model with Two Age Stages." Malaysian Journal of Mathematical Sciences 18, no. 4 (2024): 727–43. https://doi.org/10.47836/mjms.18.4.03.

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The aim of this study is to utilize the behavior of a mathematical model consisting of three-species with Lotka Volterra functional response with incorporating of fear and hunting cooperation factors with both juvenile and adult predators. The existence of equilibrium points of the system was discussed the conditions with variables. The behavior of model referred by local stability in nearness of any an equilibrium point and the conditions for the method of approximating the solution has been studied locally. We define a suitable Lyapunov function that covers every element of the nonlinear sys

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18

Wang, Xuanfei, and Shan Liang. "Research on Competition and Cooperation of Central Ports in the Guangdong-Hong Kong-Macao Greater Bay Area." Mathematical Problems in Engineering 2022 (July 14, 2022): 1–9. http://dx.doi.org/10.1155/2022/9589042.

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The construction of the Guangdong-Hong Kong-Macao Greater Bay Area requires the establishment of a comprehensive port cooperation mechanism. Coordination is key to port integration. This paper establishes a multi-group Lotka-Volterra model based on the theory of competition and cooperation to study the evolution of the relationships among Hong Kong Port, Shenzhen Port, and Guangzhou Port. The results show that the three major ports have predator-prey roles and form a symbiotic competition and cooperation ecological pattern. The extended Hotelling model is established to study the central ports

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Liang, Shan, Xuanfei Wang, and Zhenjie Liao. "Game Analysis of Container Ports Co-Competition and Coordinated Development in Guangdong-Hong Kong-Macao Greater Bay Area." Mathematical Problems in Engineering 2023 (January 3, 2023): 1–10. http://dx.doi.org/10.1155/2023/1659050.

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The port groups of the Guangdong-Hong Kong-Macao Greater Bay Area faces a new competitive and cooperative game structure concerning global competition, making it is necessary to build a comprehensive port coordination and development mechanism. In this study, we apply the logistics model to conduct parameter estimation and evolution trend analysis on the development of the port group and highlight that the current container throughput of the Guangdong-Hong Kong-Macao Greater Bay Area port group will reach the maximum and the new impetus is needed to push it into the next round of development a

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Wang, Xuanfei, Shan Liang, and Zhenjie Liao. "Integration, Game, and Sustainable Development of Shenzhen Port Based on Governmental Regulations." Journal of Mathematics 2022 (September 15, 2022): 1–11. http://dx.doi.org/10.1155/2022/2583027.

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The internal integration, game, and sustainable development of Shenzhen Port play key roles in developing a synergy mechanism among Guangdong-Hong Kong-Macau Greater Bay Area (GBA) ports. Using a logistics model, a parameter estimation and evolutionary analysis of Shenzhen Port were performed, revealing that it requires a new impetus to promote growth in its container throughput. Based on the population ecology theory, a two-population Lotka-Volterra model was used to discuss the activity and mutual effect between the western and eastern port areas of Shenzhen Port, quantitatively measuring th

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Pei, Yulong, and Wanjiao Wang. "Analysis of Multi-Modal Public Transit Competing Relationships and Evolutionary Mechanisms in Cities in Cold Regions." Applied Sciences 14, no. 7 (2024): 2702. http://dx.doi.org/10.3390/app14072702.

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In order to reveal the characteristics of the competition and cooperation of multi-modal public transportation in the cities of cold areas and to study the competitive relationship of multi-modal public transportation in cold areas, the urban public transportation system in cold areas is divided into three sub-systems, namely, conventional buses, urban mass transit, and cabs, to analyze the competitive relationship and evolution mechanism of multi-modal public transportation in cities of cold areas. We construct a multi-modal public transit Lotka–Volterra competitiveness model, considering tha

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22

Mao, Shuhua, Min Zhu, Xianpeng Wang, and Xinping Xiao. "Grey–Lotka–Volterra model for the competition and cooperation between third-party online payment systems and online banking in China." Applied Soft Computing 95 (October 2020): 106501. http://dx.doi.org/10.1016/j.asoc.2020.106501.

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Wang, Qiong, Cheng-xuan Geng, and Hai-tao E. "Dynamic Coevolution of Capital Allocation Efficiency of New Energy Vehicle Enterprises from Financing Niche Perspective." Mathematical Problems in Engineering 2019 (May 2, 2019): 1–9. http://dx.doi.org/10.1155/2019/1412950.

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Based on the dynamic characteristics of enterprises’ competition and cooperation, this paper introduces the idea of ecology and synergy and constructs a dynamic coevolution model of financing allocation efficiency and financing niche based on improved Lotka-Volterra model. The parameters in the model are difficult to be given by the least square method and the maximum likelihood estimation method; the accelerated genetic algorithm is proposed to solve the parameters in the dynamic coevolution model, which makes the parameter estimation more accurate and reasonable. Finally, the data of new ene

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Ruan, Wen-Xi, Xin Yu, Sheng-Yuan Wang, Tian-Cheng Zhao, and Ya-Zhen Liu. "Exploration of China–ASEAN Trade Relations in the Context of Sustainable Economic Development—Based on the Lotka–Volterra Model." Sustainability 15, no. 1 (2022): 517. http://dx.doi.org/10.3390/su15010517.

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The concept of sustainable development as a consensus is being recognized and practiced by the international community, and how to promote China–ASEAN trade relations and stable and sustainable economic development is an important guarantee for the coordinated economic development of the region. This paper studies the trade relationship between China and the ten ASEAN countries by using the theory of ecological population evolution and determines the ecological trade relationship between China and the ten ASEAN countries by establishing the Lotka–Volterra model of the evolution of two populati

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Sarafraz, Zahra, Hossein Sarafraz, and Mohammad R. Sayeh. "Real-time classifier based on adaptive competitive self-organizing algorithm." Adaptive Behavior 26, no. 1 (2018): 21–31. http://dx.doi.org/10.1177/1059712318760695.

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This article introduces a novel adaptive competitive self-organizing (ACS) model, with applicability for real-time clustering and vector quantization. An important feature of this model is its dynamic structure and self-adjusting parameters that also offers a solution to the problem of parasitic limit points and consequently in more accurate label assignments. This unsupervised classifier is free of any external control mechanism. Its self-organizing (SO) dynamic is governed by the gradient descent (GD) theory in cooperation with a competition mechanism based on Lotka–Volterra competitive excl

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Zhang, Gupeng, Hua Zou, Shuo Yang, and Qiang Hou. "A Study on the Evolution Game of Multi-Subject Knowledge Sharing Behavior in Open Innovation Ecosystems." Systems 13, no. 7 (2025): 511. https://doi.org/10.3390/systems13070511.

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With the shift of the global innovation model from traditional closed-loop to open ecosystems, knowledge sharing and collaborative cooperation among firms have become key to obtaining sustainable competitive advantages. However, existing studies mostly focus on the static structure, and there is an insufficient exploration of the dynamic evolutionary mechanism and multi-party game strategies. In this paper, a two-dimensional analysis framework integrating the evolutionary game and the Lotka–Volterra model is constructed to explore the behavioral and strategic evolution of core enterprises, SME

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Sun, Jiebao, Dazhi Zhang, and Boying Wu. "Qualitative properties of a cooperative degenerate Lotka-Volterra model." Advances in Difference Equations 2013, no. 1 (2013): 281. http://dx.doi.org/10.1186/1687-1847-2013-281.

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Delgado, Manuel, and Antonio Suárez. "Stability and uniqueness for cooperative degenerate Lotka–Volterra model." Nonlinear Analysis: Theory, Methods & Applications 49, no. 6 (2002): 757–78. http://dx.doi.org/10.1016/s0362-546x(01)00138-9.

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GAN, WENZHEN, and ZHIGUI LIN. "COEXISTENCE AND ASYMPTOTIC PERIODICITY IN A COOPERATING MODEL." International Journal of Biomathematics 02, no. 02 (2009): 167–77. http://dx.doi.org/10.1142/s1793524509000546.

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In this paper, the cooperating two-species Lotka–Volterra model is discussed. The authors study the existence of solutions to a strongly coupled elliptic system with homogeneous Dirichlet boundary conditions and consider the existence, stability, and global attractivity of time-periodic solutions for a coupled parabolic equations in a bounded domain. Their results show that this model possesses at least one coexistence state if cross-diffusions are weak. The existence of the positive T-periodic solutions, the local stability, and the global attractivity for the parabolic system are also given.

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Huang, Dingxuan, Claudio O. Delang, and Yongjiao Wu. "An Improved Lotka–Volterra Model Using Quantum Game Theory." Mathematics 9, no. 18 (2021): 2217. http://dx.doi.org/10.3390/math9182217.

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Human decision-making does not conform to the independent decision-making hypothesis from classical decision-making theory. Thus, we introduce quantum decision-making theory into the Lotka–Volterra model (L–V model), to investigate player population dynamics while incorporating the initial strategy, game payoffs and interactive strategies in an open social system. Simulation results show that: (1) initial strategy, entanglement intensity of strategy interaction, and payoffs impact population dynamics; (2) In cooperative coexistence, game players mutually exceed the initial environmental capaci

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LI, KAITAI, and LIZHOU WANG. "GLOBAL BIFURCATION AND LONG TIME BEHAVIOR OF THE VOLTERRA–LOTKA ECOLOGICAL MODEL." International Journal of Bifurcation and Chaos 11, no. 01 (2001): 133–42. http://dx.doi.org/10.1142/s0218127401002067.

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The structure of the positive steady-state solutions for the Volterra–Lotka ecological model of two cooperating species is investigated. Some new results of existence, nonexistence and uniqueness are presented. The existence of a global attractor which is contained in an order interval is shown and the bounds of various dimensions of the attractor are given.

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Alhasanat, Ahmad, and Chunhua Ou. "Stability of Traveling Waves to the Lotka-Volterra Competition Model." Complexity 2019 (January 1, 2019): 1–11. http://dx.doi.org/10.1155/2019/6569520.

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In this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated. First, we convert the model into a cooperative system by a special transformation. The local and the global stability of the traveling wavefronts are studied in a weighted functional space. For the global stability, comparison principle together with the squeezing technique is applied to derive the main results.

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Sun, Jiebao, Dazhi Zhang, and Boying Wu. "A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations." Abstract and Applied Analysis 2011 (2011): 1–18. http://dx.doi.org/10.1155/2011/714248.

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We consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain. We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization and also consider the existence of the nontrivial time-periodic solution for this system.

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Pan, Mei-Xia, Sheng-Yuan Wang, Xiao-Lan Wu, and Mei-Wen Zhang. "Study on the Growth Driving Model of the Enterprise Innovation Community Based on the Lotka–Volterra Model: A Case Study of the Chinese Automobile Manufacturing Enterprise Community." Mathematical Problems in Engineering 2023 (February 1, 2023): 1–15. http://dx.doi.org/10.1155/2023/8743167.

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The goal of this paper is to establish a feasible three-species equilibrium model to analyze the symbiotic relationship of an automobile manufacturing community. In order to extend the Lotka–Volterra model to empirical analysis, this paper proposes an enterprise community symbiosis model based on a three-dimensional Lotka–Volterra model, as the classical two-dimensional Lotka–Volterra model has limited application scenarios. This paper takes the innovation assets of three communities of the Chinese automobile manufacturing industry as samples. The industrial community related to automobile man

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Mi, Shao-Yue, Bang-Sheng Han, and Yu-Tong Zhao. "Turing Patterns for a Nonlocal Lotka–Volterra Cooperative System." Journal of Nonlinear Mathematical Physics 28, no. 4 (2021): 363–89. http://dx.doi.org/10.1007/s44198-021-00002-z.

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AbstractThis paper is devoted to investigating the pattern dynamics of Lotka–Volterra cooperative system with nonlocal effect and finding some new phenomena. Firstly, by discussing the Turing bifurcation, we build the conditions of Turing instability, which indicates the emergence of Turing patterns in this system. Then, by using multiple scale analysis, we obtain the amplitude equations about different Turing patterns. Furthermore, all possible pattern structures of the model are obtained through some transformation and stability analysis. Finally, two new patterns of the system are given by

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Wang, Lizhou, and Kaitai Li. "On positive solutions of the Lotka–Volterra cooperating models with diffusion." Nonlinear Analysis: Theory, Methods & Applications 53, no. 7-8 (2003): 1115–25. http://dx.doi.org/10.1016/s0362-546x(03)00048-8.

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Liu, Qun. "Analysis of a stochastic non-autonomous food-limited Lotka–Volterra cooperative model." Applied Mathematics and Computation 254 (March 2015): 1–8. http://dx.doi.org/10.1016/j.amc.2014.12.142.

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Lorenčič, Vivien, Elen Twrdy, and Milan Batista. "Development of Competitive–Cooperative Relationships among Mediterranean Cruise Ports since 2000." Journal of Marine Science and Engineering 8, no. 5 (2020): 374. http://dx.doi.org/10.3390/jmse8050374.

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Cruise shipping has been extremely popular in recent years, and one of the fastest-growing areas has been the Mediterranean. In the paper, we examine the evaluation of possible competitive–cooperative relationships among Mediterranean cruise ports for the period 2000–2017. To this end, we use three models: the dynamic shift-share model, the Lotka–Volterra model (LVM), and the logistic model (LM). The evaluation of basic market indices is included for completeness. The analysis shows that cruise traffic is in a saturation phase. The shift-share and LVM models reveal that interaction among ports

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Bobrov, Vladimir, and Yury Brodsky. "Modeling of double standards and soft power in cellular automata competition systems." E3S Web of Conferences 405 (2023): 02016. http://dx.doi.org/10.1051/e3sconf/202340502016.

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We consider a discrete analog of the classical A. Lotka – V. Volterra competition model by cellular automata. In the classical model, we know that the type of its time evolution depends on the double standards coefficients being at certain ranges of their possible values. The paper shows that the same situation holds for the discrete model either. We can see there is a soft power effect for the classical model. The classic competition model turns into a cooperative positional differential game, the limitations of which are the original system of competition equations by A. Lotka – V. Volterra.

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Vargas-De-León, Cruz. "Global stability for multi-species Lotka–Volterra cooperative systems: One hyper-connected mutualistic-species." International Journal of Biomathematics 08, no. 03 (2015): 1550039. http://dx.doi.org/10.1142/s1793524515500394.

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We propose two models of one hyper-connected mutualistic-species described by delay differential equations of Lotka–Volterra type. An hyper-connected model comprises a central species interacting with a number of peripheral species around it, that is to say, one animal species (pollinators or dispersers) that interacts with several plant species (flowering plants or fruit trees), or several animal species that interact with one plant species. We derive a necessary and sufficient condition for the global asymptotic stability of the unique coexisting steady state of hyper-connected systems by me

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Lv, Chuan, Daqing Jiang, and Ruihua Wu. "Periodic solution of a stochastic non-autonomous Lotka-Volterra cooperative system with impulsive perturbations." Filomat 32, no. 4 (2018): 1151–58. http://dx.doi.org/10.2298/fil1804151l.

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This paper is concerned with a stochastic non-autonomous Lotka-Volterra cooperative model with impulsive effects. The main purpose of this paper is to explore the existence of periodic solution of the system provided that the coefficients of the system are continuous periodic functions. By constructing appropriate Lyapunov functions and using the theory of Khasminskii, sufficient conditions under which the existence of the periodic solution of the system are obtained. Our results illustrate that the existence of the periodic solution has close relations with the white noise and the impulsive p

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Stamova, Ivanka M. "Impulsive control for stability of n-species Lotka–Volterra cooperation models with finite delays." Applied Mathematics Letters 23, no. 9 (2010): 1003–7. http://dx.doi.org/10.1016/j.aml.2010.04.026.

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肖, 义萍. "Traveling Wave Solutions of a Lotka-Volterra Cooperative Model with Time Delay in a Shifting Environment." Advances in Applied Mathematics 13, no. 04 (2024): 1197–209. http://dx.doi.org/10.12677/aam.2024.134110.

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Oeda, Kazuhiro. "Stationary Patterns for a Lotka-Volterra Cooperative Model with a Density-Dependent Diffusion Term." Funkcialaj Ekvacioj 52, no. 1 (2009): 93–112. http://dx.doi.org/10.1619/fesi.52.93.

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Yang, Yong, Chufen Wu, and Zunxian Li. "Forced waves and their asymptotics in a Lotka–Volterra cooperative model under climate change." Applied Mathematics and Computation 353 (July 2019): 254–64. http://dx.doi.org/10.1016/j.amc.2019.01.058.

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Zhang, Yaming, Chaosheng Tang, and Li Weigang. "Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks." Journal of Applied Mathematics 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/610382.

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Traditional empirical models of propagation consider individual contagion as an independent process, thus spreading in isolation manner. In this paper, we study how different contagions interact with each other as they spread through the network in order to propose an alternative dynamics model for information propagation. The proposed model is a novel combination of Lotka-Volterra cooperative model and competitive model. It is assumed that the interaction of one message on another is flexible instead of always negative. We prove that the impact of competition depends on the critical speed of

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Zhang, Duo Ying, Wei Guang Li, Xu Jin Gong, Wen Qin, and Xiao Fei Huang. "Cooperative Interaction between the Seeded Bacteria in Bio-Enhanced Activated Carbon Filter." Advanced Materials Research 726-731 (August 2013): 277–82. http://dx.doi.org/10.4028/www.scientific.net/amr.726-731.277.

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In this study, the fluorescence in situ hybridization (FISH) was used to specifically detect the seeded bacteriaPseudomonassp andBacillus subtilisin the BEAC filter. For evaluating the cooperative interaction between the seeded bacteria, Lotka-Volterra model was introduced to calculate the data gained from FISH results. The parameterαmeasures how much speciesPseudomonassp. inhibits speciesBacillus subtiliss growth, andβmeasures how much speciesBacillus subtilisinhibits speciesPseudomonassp..α=0.0063<K1/K2andβ=0.73<K2/K1in the top section of the BEAC filter.α=-0.13<K1/K2andβ=0.41<K2

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Wang, Changyou, Linrui Li, Qiuyan Zhang, and Rui Li. "Dynamical behaviour of a Lotka–Volterra competitive-competitive–cooperative model with feedback controls and time delays." Journal of Biological Dynamics 13, no. 1 (2019): 43–68. http://dx.doi.org/10.1080/17513758.2019.1568600.

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Liu, Aijun, Lu Cai, and Fan Chen. "Evolutionary Path and Sustainable Optimization of an Innovation Ecosystem for a High-Tech Enterprise Based on Empirical Evidence from Hubei Province." Sustainability 15, no. 1 (2022): 770. http://dx.doi.org/10.3390/su15010770.

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This study focuses on the evolutionary path and sustainable optimization of an innovation ecosystem for a high-tech enterprise. To analyze the formation and structure of such an ecosystem, this study applies the Lotka–Volterra model to argue that cooperative symbiosis is an effective path for system evolution. It establishes a system dynamics model to analyze the system feedback mechanism and takes the development of an innovation ecosystem for a high-tech enterprise in Hubei Province as an example to discuss the dynamic factors that affect the system’s evolution and to design the sustainable

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Lu, Shiping. "On the existence of positive periodic solutions to a Lotka Volterra cooperative population model with multiple delays." Nonlinear Analysis: Theory, Methods & Applications 68, no. 6 (2008): 1746–53. http://dx.doi.org/10.1016/j.na.2007.01.003.

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