Log in

Relevant bibliographies by topics / Generalized Lotka-Volterra Chaotic System / Journal articles

To see the other types of publications on this topic, follow the link: Generalized Lotka-Volterra Chaotic System.

Journal articles on the topic 'Generalized Lotka-Volterra Chaotic System'

Author: Grafiati

Published: 4 June 2025

Last updated: 15 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Generalized Lotka-Volterra Chaotic System.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Stucki, Jörg W., and Robert Urbanczik. "Entropy Production of the Willamowski-Rössler Oscillator." Zeitschrift für Naturforschung A 60, no. 8-9 (2005): 599–9. http://dx.doi.org/10.1515/zna-2005-8-907.

Full text

Abstract:

Some properties of the Willamowski-Rössler model are studied by numerical simulations. From the original equations a minimal version of the model is derived which also exhibits the characteristic properties of the original model. This minimal model shows that it contains the Volterra-Lotka oscillator as a core component. It thus belongs to a class of generalized Volterra-Lotka systems. It has two steady states, a saddle point, responsible for chaos, and a fixed point, dictating its dynamic behaviour. The chaotic attractor is located close to the surface of the basin of attraction of the saddle

APA, Harvard, Vancouver, ISO, and other styles

2

Chaudhary, Harindri, Mohammad Sajid, Santosh Kaushik, and Ali Allahem. "Stability analysis of chaotic generalized Lotka-Volterra system via active compound difference anti-synchronization method." Mathematical Biosciences and Engineering 20, no. 5 (2023): 9410–22. http://dx.doi.org/10.3934/mbe.2023413.

Full text

Abstract:

<abstract><p>This work deals with a systematic approach for the investigation of compound difference anti-synchronization (CDAS) scheme among chaotic generalized Lotka-Volterra biological systems (GLVBSs). First, an active control strategy (ACS) of nonlinear type is described which is specifically based on Lyapunov's stability analysis (LSA) and master-slave framework. In addition, the biological control law having nonlinear expression is constructed for attaining asymptotic stability pattern for the error dynamics of the discussed GLVBSs. Also, simulation results through MATLAB en

APA, Harvard, Vancouver, ISO, and other styles

3

Serpa, Nilo, and José Roberto Costa Steiner. "Advanced predator-prey Modelling for Work and Employment Scenarios: Brazil in Focus." CALIBRE - Revista Brasiliense de Engenharia e Física Aplicada 7, no. 2 (2022): 26. http://dx.doi.org/10.17648/calibre.v7i2.3455.

Full text

Abstract:

<p>The broad application range of the predator-prey modelling enabled the conjecture that it may be applied to represent the dynamics of the work-employment system in Brazil. The simulations performed showed more chaotic dynamics at the beginning of the time series, tending to less perturbed states, as time goes by, due to public policies and hidden intrinsic system features. Basic Lotka-Volterra approach was revised and adapted to the reality of the study. The aim of this article is to show that the work-employment system in Brazil admits a predator-prey modelling, providing decision ma

APA, Harvard, Vancouver, ISO, and other styles

4

Trikha, P., Nasreen, and L. S. Jahanzaib. "Combination Difference Synchronization between Identical Generalised Lotka-Volterra Chaotic Systems." Journal of Scientific Research 12, no. 2 (2020): 183–88. http://dx.doi.org/10.3329/jsr.v12i2.43765.

Full text

Abstract:

This manuscript investigates the combination difference synchronization between identical Generalised Lotka-Volterra Chaotic Systems. Numerical Simulations have been performed which are in complete agreement of theoretical results.

APA, Harvard, Vancouver, ISO, and other styles

5

Christie, J. R., K. Gopalsamy, and Jibin Li. "Chaos in perturbed Lotka-Volterra systems." ANZIAM Journal 42, no. 3 (2001): 399–412. http://dx.doi.org/10.1017/s1446181100012025.

Full text

Abstract:

AbstractLotka-Volterra systems have been used extensively in modelling population dynamics. In this paper, it is shown that chaotic behaviour in the sense of Smale can exist in timeperiodically perturbed systems of Lotka-Volterra equations. First, a slowly varying threedimensional perturbed Lotka-Volterra system is considered and the corresponding unperturbed system is shown to possess a heteroclinic cycle. By using Melnikov's method, sufficient conditions are obtained for the perturbed system to have a transverse heteroclinic cycle and hence to possess chaotic behaviour in the sense of Smale.

APA, Harvard, Vancouver, ISO, and other styles

6

Bougoffa, Lazhar, and Ammar Khanfer. "On the solutions of the generalized Lotka-Volterra system." ITM Web of Conferences 29 (2019): 01016. http://dx.doi.org/10.1051/itmconf/20192901016.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Valero, José. "A Weak Comparison Principle for Reaction-Diffusion Systems." Journal of Function Spaces and Applications 2012 (2012): 1–30. http://dx.doi.org/10.1155/2012/679465.

Full text

Abstract:

We prove a weak comparison principle for a reaction-diffusion system without uniqueness of solutions. We apply the abstract results to the Lotka-Volterra system with diffusion, a generalized logistic equation, and to a model of fractional-order chemical autocatalysis with decay. Moreover, in the case of the Lotka-Volterra system a weak maximum principle is given, and a suitable estimate in the space of essentially bounded functionsL∞is proved for at least one solution of the problem.

APA, Harvard, Vancouver, ISO, and other styles

8

ASAI, TETSUYA, TAISHI KAMIYA, TETSUYA HIROSE, and YOSHIHITO AMEMIYA. "A SUBTHRESHOLD ANALOG MOS CIRCUIT FOR LOTKA–VOLTERRA CHAOTIC OSCILLATOR." International Journal of Bifurcation and Chaos 16, no. 01 (2006): 207–12. http://dx.doi.org/10.1142/s0218127406014733.

Full text

Abstract:

We fabricated an analog integrated circuit (IC) that implements the Lotka–Volterra (LV) chaotic oscillator presented by Mimura and Kan-on [1986]. The LV system describes periodic or chaotic behaviors in prey–predator systems in simple mathematical form, and is suitable for analog IC implementation [Asai et al., 2003]. The proposed circuit consists of a small number of metal-oxide-semiconductor field-effect transistors (MOS FETs) operating in their subthreshold region. A new scaling factor of system variables, which was not discussed in [Asai et al., 2003], is also introduced for quantitative s

APA, Harvard, Vancouver, ISO, and other styles

9

GOPALSAMY, K. "Global asymptotic stability in a generalized Lotka-Volterra system." International Journal of Systems Science 17, no. 3 (1986): 447–51. http://dx.doi.org/10.1080/00207728608926819.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

11

Afraimovich, Valentin S., Gregory Moses, and Todd Young. "Two-dimensional heteroclinic attractor in the generalized Lotka–Volterra system." Nonlinearity 29, no. 5 (2016): 1645–44. http://dx.doi.org/10.1088/0951-7715/29/5/1645.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Nakaoka, S., Y. Saito, and Y. Takeuchi. "Stability, delay, and chaotic behavior in a Lotka-Volterra predator-prey system." Mathematical Biosciences and Engineering 3, no. 1 (2006): 173–87. http://dx.doi.org/10.3934/mbe.2006.3.173.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Wang, Ruiping, and Dongmei Xiao. "Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka–Volterra system." Nonlinear Dynamics 59, no. 3 (2009): 411–22. http://dx.doi.org/10.1007/s11071-009-9547-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Frezzato, Diego. "Universal embedding of autonomous dynamical systems into a Lotka-Volterra-like format." Physica Scripta 99, no. 1 (2023): 015235. http://dx.doi.org/10.1088/1402-4896/ad1236.

Full text

Abstract:

Abstract We show that the ordinary differential equations (ODEs) of any deterministic autonomous dynamical system with continuous and bounded rate-field components can be embedded into a quadratic Lotka-Volterra-like form by turning to an augmented set of state variables. The key step consists in expressing the rate equations by employing the Universal Approximation procedure (borrowed from the machine learning context) with logistic sigmoid ‘activation function’. Then, by applying already established methods, the resulting ODEs are first converted into a multivariate polynomial form (also kno

APA, Harvard, Vancouver, ISO, and other styles

15

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

16

Taniguchi, Kunihiko. "Permanence for a Generalized Nonautonomous Lotka-Volterra Competition System with Delays." Funkcialaj Ekvacioj 63, no. 2 (2020): 183–97. http://dx.doi.org/10.1619/fesi.63.183.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

AFRAIMOVICH, VALENTIN S., SZE-BI HSU, and HUEY-ER LIN. "CHAOTIC BEHAVIOR OF THREE COMPETING SPECIES OF MAY–LEONARD MODEL UNDER SMALL PERIODIC PERTURBATIONS." International Journal of Bifurcation and Chaos 11, no. 02 (2001): 435–47. http://dx.doi.org/10.1142/s021812740100216x.

Full text

Abstract:

The influence of periodic perturbations to a Lotka–Volterra system, modeling a competition between three species, is studied, provided that in the unperturbed case the system has a unique attractor — a contour of heteroclinic orbits joining unstable equilibria. It is shown that the perturbed system may manifest regular behavior corresponding to the existence of a smooth invariant torus, and, as well, may have chaotic regimes depending on some parameters. Theoretical results are confirmed by numerical simulations.

APA, Harvard, Vancouver, ISO, and other styles

18

Belyaev, A. V., and T. V. Perevalova. "Stochastic sensitivity of quasiperiodic and chaotic attractors of the discrete Lotka-Volterra model." Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta 55 (May 2020): 19–32. http://dx.doi.org/10.35634/2226-3594-2020-55-02.

Full text

Abstract:

The aim of the study presented in this article is to analyze the possible dynamic modes of the deterministic and stochastic Lotka-Volterra model. Depending on the two parameters of the system, a map of regimes is constructed. Parametric areas of existence of stable equilibria, cycles, closed invariant curves, and also chaotic attractors are studied. The bifurcations such as the period doubling, Neimark-Sacker and the crisis are described. The complex shape of the basins of attraction of irregular attractors (closed invariant curve and chaos) is demonstrated. In addition to the deterministic sy

APA, Harvard, Vancouver, ISO, and other styles

19

Itoh, Yoshiaki. "A certain configuration of random points on a circle associated with a generalized Lotka-Volterra equation." Journal of Applied Probability 26, no. 4 (1989): 898–900. http://dx.doi.org/10.2307/3214396.

Full text

Abstract:

Invariant integrals of a Lotka-Volterra system with infinitely many species are introduced. The values of these integrals are given by the probabilities of certain configurations of random points on a circle when the probability density on the circle satisfies a certain symmetry condition.

APA, Harvard, Vancouver, ISO, and other styles

20

Itoh, Yoshiaki. "A certain configuration of random points on a circle associated with a generalized Lotka-Volterra equation." Journal of Applied Probability 26, no. 04 (1989): 898–900. http://dx.doi.org/10.1017/s0021900200027789.

Full text

Abstract:

Invariant integrals of a Lotka-Volterra system with infinitely many species are introduced. The values of these integrals are given by the probabilities of certain configurations of random points on a circle when the probability density on the circle satisfies a certain symmetry condition.

APA, Harvard, Vancouver, ISO, and other styles

21

Mi, Yuzhen. "Existence of Generalized Homoclinic Solutions of Lotka-Volterra System under a Small Perturbation." Journal of Function Spaces 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/8075381.

Full text

Abstract:

This paper investigates Lotka-Volterra system under a small perturbationvxx=-μ(1-a2u-v)v+ϵf(ϵ,v,vx,u,ux),uxx=-(1-u-a1v)u+ϵg(ϵ,v,vx,u,ux). By the Fourier series expansion technique method, the fixed point theorem, the perturbation theorem, and the reversibility, we prove that nearμ=0the system has a generalized homoclinic solution exponentially approaching a periodic solution.

APA, Harvard, Vancouver, ISO, and other styles

22

Zhao, Huitao, Yaowei Sun, and Zhen Wang. "Control of Hopf Bifurcation and Chaos in a Delayed Lotka-Volterra Predator-Prey System with Time-Delayed Feedbacks." Abstract and Applied Analysis 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/104156.

Full text

Abstract:

A delayed Lotka-Volterra predator-prey system with time delayed feedback is studied by using the theory of functional differential equation and Hassard’s method. By choosing appropriate control parameter, we investigate the existence of Hopf bifurcation. An explicit algorithm is given to determine the directions and stabilities of the bifurcating periodic solutions. We find that these control laws can be applied to control Hopf bifurcation and chaotic attractor. Finally, some numerical simulations are given to illustrate the effectiveness of the results found.

APA, Harvard, Vancouver, ISO, and other styles

23

COLACCHIO, GIORGIO, MARCO SPARRO, and CLAUDIO TEBALDI. "SEQUENCES OF CYCLES AND TRANSITIONS TO CHAOS IN A MODIFIED GOODWIN'S GROWTH CYCLE MODEL." International Journal of Bifurcation and Chaos 17, no. 06 (2007): 1911–32. http://dx.doi.org/10.1142/s0218127407018117.

Full text

Abstract:

The model introduced by Goodwin [1967] in "A Growth Cycle" represents a milestone in the nonlinear modeling of economic dynamics. On the basis of a few simple assumptions, the Goodwin Model (GM) is formulated exactly as the well-known Lotka–Volterra system, in terms of the two variables "wage share" and "employment rate". A number of extensions have been proposed with the aim to make the model more robust, in particular, to obtain structural stability, lacking in GM original formulation. We propose a new extension that: (a) removes the limiting hypothesis of "Harrod-neutral" technical progress

APA, Harvard, Vancouver, ISO, and other styles

24

Chen, Yuyao, Xiping Li, and Aiai Jiang. "Plant Community Prediction Based on Lotka-Volterra Model and Statistical Analysis." Highlights in Science, Engineering and Technology 66 (September 20, 2023): 157–62. http://dx.doi.org/10.54097/hset.v66i.11682.

Full text

Abstract:

The change process of plant communities is an important issue involving botany, environmental science and system science. This paper mainly studies the state changes of plant communities under irregular weather cycles, and establishes a dynamic model of species interaction based on Lotka-Volterra equations. The Euler method, statistical analysis are used to solve the problem. we extend the basic Lotka-Volterra model to the generalized Lotka-Volterra model, which can describe the change of a community with multiple species. Based on this, by introducing parameters such as drought intensity, spe

APA, Harvard, Vancouver, ISO, and other styles

25

Beretta, E., V. Capasso, and F. Rinaldi. "Global stability results for a generalized Lotka-Volterra system with distributed delays." Journal of Mathematical Biology 26, no. 6 (1988): 661–88. http://dx.doi.org/10.1007/bf00276147.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Chaudhary, Harindri, Ayub Khan, Uzma Nigar, Santosh Kaushik, and Mohammad Sajid. "An Effective Synchronization Approach to Stability Analysis for Chaotic Generalized Lotka–Volterra Biological Models Using Active and Parameter Identification Methods." Entropy 24, no. 4 (2022): 529. http://dx.doi.org/10.3390/e24040529.

Full text

Abstract:

In this manuscript, we systematically investigate projective difference synchronization between identical generalized Lotka–Volterra biological models of integer order using active control and parameter identification methods. We employ Lyapunov stability theory (LST) to construct the desired controllers, which ensures the global asymptotical convergence of a trajectory following synchronization errors. In addition, simulations were conducted in a MATLAB environment to illustrate the accuracy and efficiency of the proposed techniques. Exceptionally, both experimental and theoretical results ar

APA, Harvard, Vancouver, ISO, and other styles

27

Jiang, Zhao, Azhar Halik, and Ahmadjan Muhammadhaji. "Dynamics in an n-Species Lotka–Volterra Cooperative System with Delays." Axioms 12, no. 5 (2023): 501. http://dx.doi.org/10.3390/axioms12050501.

Full text

Abstract:

We studied a class of generalized n-species non-autonomous cooperative Lotka–Volterra (L-V) systems with time delays. We obtained new criteria on the dynamic properties of the systems. First, we obtained the boundedness and permanence of the system using the inequality analysis technique and comparison method. Then, the existence of positive periodic solutions was investigated using the coincidence degree theory. The global attractivity of the system was obtained by constructing suitable Lyapunov functionals and utilizing Barbalat’s lemma. The existence and global attractivity of the periodic

APA, Harvard, Vancouver, ISO, and other styles

28

Voroshilova, Anzhelika, and Jeff Wafubwa. "Discrete Competitive Lotka–Volterra Model with Controllable Phase Volume." Systems 8, no. 2 (2020): 17. http://dx.doi.org/10.3390/systems8020017.

Full text

Abstract:

The simulation of population dynamics and social processes is of great interest in nonlinear systems. Recently, many scholars have paid attention to the possible applications of population dynamics models, such as the competitive Lotka–Volterra equation, in economic, demographic and social sciences. It was found that these models can describe some complex behavioral phenomena such as marital behavior, the stable marriage problem and other demographic processes, possessing chaotic dynamics under certain conditions. However, the introduction of external factors directly into the continuous syste

APA, Harvard, Vancouver, ISO, and other styles

29

Yin, Fancheng, and Xiaoyan Yu. "The Stationary Distribution and Extinction of Generalized Multispecies Stochastic Lotka-Volterra Predator-Prey System." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/479326.

Full text

Abstract:

This paper is concerned with the existence of stationary distribution and extinction for multispecies stochastic Lotka-Volterra predator-prey system. The contributions of this paper are as follows. (a) By using Lyapunov methods, the sufficient conditions on existence of stationary distribution and extinction are established. (b) By using the space decomposition technique and the continuity of probability, weaker conditions on extinction of the system are obtained. Finally, a numerical experiment is conducted to validate the theoretical findings.

APA, Harvard, Vancouver, ISO, and other styles

30

ZHANG, TIANWEI, and YONGKUN LI. "POSITIVE PERIODIC SOLUTIONS FOR A GENERALIZED IMPULSIVE N-SPECIES GILPIN–AYALA COMPETITION SYSTEM WITH CONTINUOUSLY DISTRIBUTED DELAYS ON TIME SCALES." International Journal of Biomathematics 04, no. 01 (2011): 23–34. http://dx.doi.org/10.1142/s1793524511001131.

Full text

Abstract:

In this paper, we study a generalized impulsive n-species Gilpin–Ayala competition system with continuously distributed delays on time scales in periodic environment, which is more general and more realistic than the classical Lotka–Volterra competition system. By using a fixed point theorem of strict-set-contraction, some sufficient conditions are obtained for the existence of at least one positive periodic solution. Finally, we present an example to illustrate that our results are effective.

APA, Harvard, Vancouver, ISO, and other styles

31

Baek, Hunki. "Extinction and Permanence of a Three-Species Lotka-Volterra System with Impulsive Control Strategies." Discrete Dynamics in Nature and Society 2008 (2008): 1–18. http://dx.doi.org/10.1155/2008/752403.

Full text

Abstract:

A three-species Lotka-Volterra system with impulsive control strategies containing the biological control (the constant impulse) and the chemical control (the proportional impulse) with the same period, but not simultaneously, is investigated. By applying the Floquet theory of impulsive differential equation and small amplitude perturbation techniques to the system, we find conditions for local and global stabilities of a lower-level prey and top-predator free periodic solution of the system. In addition, it is shown that the system is permanent under some conditions by using comparison result

APA, Harvard, Vancouver, ISO, and other styles

32

Eberhardt, L. L. "Applying difference equations to wolf predation." Canadian Journal of Zoology 76, no. 2 (1998): 380–86. http://dx.doi.org/10.1139/z97-184.

Full text

Abstract:

Parameters for generalized Lotka-Volterra equations, expressed as difference equations, have been estimated from actual data on wolves and their prey. The functional response is represented by a single constant, while the numerical response is expressed as a ratio-dependent limitation on predator abundance. Parameters for the Lotka-Volterra equations were estimated by multiple-regression fits to data on moose (Alces alces) and wolves (Canis lupus) on Isle Royale, and from other sources. Observed prey-predator ratios are highly variable, but much of the variability may arise from nonequilibrium

APA, Harvard, Vancouver, ISO, and other styles

33

Taniguchi, Kunihiko. "Permanence and global asymptotic stability for a generalized nonautonomous Lotka-Volterra competition system." Hiroshima Mathematical Journal 42, no. 2 (2012): 189–208. http://dx.doi.org/10.32917/hmj/1345467070.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Lazzús, Juan A., Pedro Vega-Jorquera, Carlos H. López-Caraballo, Luis Palma-Chilla, and Ignacio Salfate. "Parameter estimation of a generalized Lotka–Volterra system using a modified PSO algorithm." Applied Soft Computing 96 (November 2020): 106606. http://dx.doi.org/10.1016/j.asoc.2020.106606.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Elsadany, A. A., A. E. Matouk, A. G. Abdelwahab, and H. S. Abdallah. "Dynamical analysis, linear feedback control and synchronization of a generalized Lotka-Volterra system." International Journal of Dynamics and Control 6, no. 1 (2017): 328–38. http://dx.doi.org/10.1007/s40435-016-0299-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

FIASCONARO, A., D. VALENTI, and B. SPAGNOLO. "NONMONOTONIC PATTERN FORMATION IN THREE SPECIES LOTKA–VOLTERRA SYSTEM WITH COLORED NOISE." Fluctuation and Noise Letters 05, no. 02 (2005): L305—L311. http://dx.doi.org/10.1142/s0219477505002690.

Full text

Abstract:

A coupled map lattice of generalized Lotka–Volterra equations in the presence of colored multiplicative noise is used to analyze the spatiotemporal evolution of three interacting species: one predator and two preys symmetrically competing each other. The correlation of the species concentration over the grid as a function of time and of the noise intensity is investigated. The presence of noise induces pattern formation, whose dimensions show a nonmonotonic behavior as a function of the noise intensity. The colored noise induces a greater dimension of the patterns with respect to the white noi

APA, Harvard, Vancouver, ISO, and other styles

37

K.Shchigolev, V. "Applying He's variational iteration method to FRW cosmology." International Journal of Advanced Astronomy 7, no. 2 (2019): 39. http://dx.doi.org/10.14419/ijaa.v7i2.29428.

Full text

Abstract:

This work is devoted to the investigation of Friedmann-Robertson-Walker (FRW) cosmological models with the help of the so-called Variational Iteration Method (VIM). For this end, we briefly recall the main equations of the cosmological models and the basic idea of VIM. In order to approbate the VIM in FRW cosmology and demonstrate the main steps in solving by this method, we consider the test example of the universe with dust for which the exact solution of the model is known. Then, a solution for the spatially flat FRW model of the universe filled with the dust and quintessence is obtained wh

APA, Harvard, Vancouver, ISO, and other styles

38

RICHMOND, PETER, and SORIN SOLOMON. "POWER LAWS ARE DISGUISED BOLTZMANN LAWS." International Journal of Modern Physics C 12, no. 03 (2001): 333–43. http://dx.doi.org/10.1142/s0129183101001754.

Full text

Abstract:

Using a previously introduced model on generalized Lotka–Volterra dynamics together with some recent results for the solution of generalized Langevin equations, we derive analytically the equilibrium mean field solution for the probability distribution of wealth and show that it has two characteristic regimes. For large values of wealth, it takes the form of a Pareto style power law. For small values of wealth, w ≤ wm, the distribution function tends sharply to zero. The origin of this law lies in the random multiplicative process built into the model. Whilst such results have been known since

APA, Harvard, Vancouver, ISO, and other styles

39

Liu, Zhi, and Rongwei Guo. "Stabilization of the GLV System with Asymptotically Unbounded External Disturbances." Mathematics 11, no. 21 (2023): 4496. http://dx.doi.org/10.3390/math11214496.

Full text

Abstract:

This paper investigates the stabilization of the generalized Lotka–Volterra (GLV) biological model, which is affected by the asymptotically unbounded external disturbances, and presents some new results. Firstly, two stabilizers are proposed for the nominal GLV system. Then, some appropriate filters are designed and applied to asymptotically track the corresponding disturbances. Based on these filters, two disturbance-estimator (DE)-based controllers are presented to cancel the corresponding disturbances. Compared to the existing results, the advantage of this paper is in handling the asymptot

APA, Harvard, Vancouver, ISO, and other styles

40

CIRONE, MARKUS A., FERDINANDO DE PASQUALE, and BERNARDO SPAGNOLO. "NONLINEAR RELAXATION IN POPULATION DYNAMICS." Fractals 11, supp01 (2003): 217–26. http://dx.doi.org/10.1142/s0218348x03001872.

Full text

Abstract:

We analyze the nonlinear relaxation of a complex ecosystem composed of many interacting species. The ecological system is described by generalized Lotka-Volterra equations with a multiplicative noise. The transient dynamics is studied in the framework of the mean field theory and with random interaction between the species. We focus on the statistical properties of the asymptotic behaviour of the time integral of the i th population and on the distribution of the population and of the local field.

APA, Harvard, Vancouver, ISO, and other styles

41

Kouloukas, T. E., G. R. W. Quispel, and P. Vanhaecke. "Liouville integrability and superintegrability of a generalized Lotka–Volterra system and its Kahan discretization." Journal of Physics A: Mathematical and Theoretical 49, no. 22 (2016): 225201. http://dx.doi.org/10.1088/1751-8113/49/22/225201.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Stamov, Gani, Anatoliy Martynyuk, and Ivanka Stamova. "Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds." Fractal and Fractional 3, no. 4 (2019): 50. http://dx.doi.org/10.3390/fractalfract3040050.

Full text

Abstract:

In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are generalized to the impulsive case. For the first time in the literature, Lyapunov-like functions and their derivatives with respect to impulsive fractional-like systems are defined. As an application, an impulsive fractional-like system of Lotka–Volterra equations is considered and new criteria for practical exponential stability are proposed. In addition, the uncertain case is a

APA, Harvard, Vancouver, ISO, and other styles

43

Garai, Shilpa, Moumita Garain, Sudip Samanta, and Nikhil Pal. "Dynamics of a discrete-time system with Z-type control." Zeitschrift für Naturforschung A 75, no. 7 (2020): 609–20. http://dx.doi.org/10.1515/zna-2020-0059.

Full text

Abstract:

AbstractIn community ecology, the stability of a predator–prey system is a considerably desired issue; as a result, population control of a predator–prey system is very important. The dynamics of continuous-time models with Z-type control is studied earlier. But, the effectiveness of the Z-type control mechanism in a discrete-time set-up is lacking. First, we consider a Lotka–Volterra type discrete-time predator–prey model. We observe that without control, the system exhibits rich dynamical behaviors including chaotic oscillations. We apply the Z-control mechanism in both direct and indirect w

APA, Harvard, Vancouver, ISO, and other styles

44

Platonov, A. V. "Conditions for ultimate boundedness of solutions and permanence for a hybrid Lotka–Volterra system." Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, no. 6 (June 25, 2024): 68–79. http://dx.doi.org/10.26907/0021-3446-2024-6-68-79.

Full text

Abstract:

In the paper, a generalized Lotka–Volterra – type system with switching is considered. The conditions for the ultimate boundedness of solutions and the permanence of the system are studied. With the aid of the direct Lyapunov method, the requirements for the switching law are established to guarantee the necessary dynamics of the system. An attractive compact invariant set is constructed in the phase space of the system, and a given region of attraction for this set is provided. A distinctive feature of the work is the use of a combination of two different Lyapunov functions, each of which pla

APA, Harvard, Vancouver, ISO, and other styles

45

Baek, Hunki. "The Dynamics of a Predator-Prey System with State-Dependent Feedback Control." Abstract and Applied Analysis 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/101386.

Full text

Abstract:

A Lotka-Volterra-type predator-prey system with state-dependent feedback control is investigated in both theoretical and numerical ways. Using the Poincaré map and the analogue of the Poincaré criterion, the sufficient conditions for the existence and stability of semitrivial periodic solutions and positive periodic solutions are obtained. In addition, we show that there is no positive periodic solution with period greater than and equal to three under some conditions. The qualitative analysis shows that the positive period-one solution bifurcates from the semitrivial solution through a fold b

APA, Harvard, Vancouver, ISO, and other styles

46

MCGEHEE, EDWARD A., NOEL SCHUTT, DESIDERIO A. VASQUEZ, and ENRIQUE PEACOCK-LÓPEZ. "BIFURCATIONS, AND TEMPORAL AND SPATIAL PATTERNS OF A MODIFIED LOTKA–VOLTERRA MODEL." International Journal of Bifurcation and Chaos 18, no. 08 (2008): 2223–48. http://dx.doi.org/10.1142/s0218127408021671.

Full text

Abstract:

Bazykin proposed a Lotka–Volterra-type ecological model that accounts for simplified territoriality, which neither depends on territory size nor on food availability. In this study, we describe the global dynamics of the Bazykin model using analytical and numerical methods. We specifically focus on the effects of mutual predator interference and the prey carrying capacity since the variability of each could have especially dramatic ecological repercussions. The model displays a broad array of complex dynamics in space and time; for instance, we find the coexistence of a limit cycle and a stead

APA, Harvard, Vancouver, ISO, and other styles

47

Zhen, Bin, and Yu Zhang. "Generalized Function Projective Synchronization of Two Different Chaotic Systems with Uncertain Parameters." Applied Sciences 13, no. 14 (2023): 8135. http://dx.doi.org/10.3390/app13148135.

Full text

Abstract:

This study proposes a new approach to realize generalized function projective synchronization (GFPS) between two different chaotic systems with uncertain parameters. The GFPS condition is derived by converting the differential equations describing the synchronization error systems into a series of Volterra integral equations on the basis of the Laplace transform method and convolution theorem, which are solved by applying the successive approximation method in the theory of integral equations. Compared with the results obtained by constructing Lyapunov functions or calculating the conditional

APA, Harvard, Vancouver, ISO, and other styles

48

Bibik, Yu V. "Analytical Investigation of the Chaotic Dynamics of a Two-Dimensional Lotka–Volterra System with a Seasonality Factor." Computational Mathematics and Mathematical Physics 61, no. 2 (2021): 226–41. http://dx.doi.org/10.1134/s0965542521010024.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Li, Dan, Jing’an Cui, and Guohua Song. "Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion." Journal of Applied Mathematics 2014 (2014): 1–16. http://dx.doi.org/10.1155/2014/249504.

Full text

Abstract:

This paper studies the effect of jump-diffusion random environmental perturbations on the asymptotic behaviour and extinction of Lotka-Volterra population dynamics with delays. The contributions of this paper lie in the following: (a) to consider delay stochastic differential equation with jumps, we introduce a proper initial data space, in which the initial data may be discontinuous function with downward jumps; (b) we show that the delay stochastic differential equation with jumps associated with our model has a unique global positive solution and give sufficient conditions that ensure stoch

APA, Harvard, Vancouver, ISO, and other styles

50

Ghaffar, Mayadah Khalil, Fadhel S. Fadhel, and Nabeel E. Arif. "Application of the Generalized Backstepping Control Method for Lotka-Volterra Prey-Predator System with Constant Time Delay." Journal of Physics: Conference Series 2322, no. 1 (2022): 012012. http://dx.doi.org/10.1088/1742-6596/2322/1/012012.

Full text

Abstract:

Abstract A well-known method, namely the backstepping method, which is used for stabilizing systems of ordinary differential equations is applied in this paper to solve the system of Lotka-Volterra prey-predator with time delay. The followed approach is accomplished with the cooperation of the method of steps, which is a well-known approach followed in solving delay differential equations, to transform the system of nonlinear delay differential equations into an equivalent system of ordinary differential equations. The fundamental concept behind the backstepping method is to construct recursiv

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!