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Relevant bibliographies by topics / Lotka-Volterra cooperation model

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Academic literature on the topic 'Lotka-Volterra cooperation model'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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

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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4

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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7

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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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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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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Dissertations / Theses on the topic "Lotka-Volterra cooperation model"

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Tsai, Yi-Fang, and 蔡宜芳. "Analysis of Competition and Cooperation in Taiwan Wafer Industry by Lotka-Volterra Model." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/9rds92.

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Books on the topic "Lotka-Volterra cooperation model"

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UNESCO. Working Group on Systems Analysis. Meeting. Lotka-Volterra-approach to cooperation and competition in dynamic systems: Proceedings of the 5th Meeting of UNESCO's Working Group on System Theory held on the Wartburg, Eisenach (GDR), March 5-9, 1984. Akademie-Verlag, 1985.

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UNESCO Working Group on System Theory. Meeting. Lotka-Volterra-Approach to Cooperation and Competition in Dynamic Systems: Proceedings of the 5th Meeting of UNESCO's Working Group on System Theory held on the Wartburg, Eisenach (GDR) March 5-9, 1984. Akademie-Verlag, 1985.

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Book chapters on the topic "Lotka-Volterra cooperation model"

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"Chapter 8 Systems under birth and death conditions: Lotka and Lotka—Volterra models." In Modern Aspects of Diffusion-Controlled Reactions - Cooperative Phenomena in Bimolecular Processes. Elsevier, 1996. http://dx.doi.org/10.1016/s0069-8040(96)80010-0.

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Conference papers on the topic "Lotka-Volterra cooperation model"

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Rachmawati, Zahra Febrilia, Sutrima, and Ririn Setiyowati. "Cooperation analysis of automotive industry in Indonesia based on Lotka-Volterra model." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICS: EDUCATION, THEORY & APPLICATION (ICMETA) 2022. AIP Publishing, 2025. https://doi.org/10.1063/5.0262936.

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2

Enatsu, Yoichi, Alberto Cabada, Eduardo Liz, and Juan J. Nieto. "Permanence for multi-species nonautonomous Lotka-Volterra cooperative systems." In MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142923.

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