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Analysis of a stochastic non-autonomous food-limited Lotka–Volterra cooperative model

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  • Liu, Qun

Abstract

In this paper, a stochastic non-autonomous food-limited Lotka–Volterra cooperative model is proposed and investigated. Sufficient conditions are formulated and verified for p-moment persistence and extinction of the system. Results demonstrate that cooperative coefficients have important effects on the convergence rate of the solution to the equilibria of the stochastic model. Some numerical simulations are introduced to support the analytical results.

Suggested Citation

  • Liu, Qun, 2015. "Analysis of a stochastic non-autonomous food-limited Lotka–Volterra cooperative model," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 1-8.
    • Handle: RePEc:eee:apmaco:v:254:y:2015:i:c:p:1-8
    DOI: 10.1016/j.amc.2014.12.142
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    References listed on IDEAS

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    1. Liu, Qun, 2015. "The effects of time-dependent delays on global stability of stochastic Lotka–Volterra competitive model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 108-115.
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    Cited by:

    1. Liu, Qun & Jiang, Daqing & Hayat, Tasawar & Alsaedi, Ahmed, 2018. "Asymptotic behavior of a food-limited Lotka–Volterra mutualism model with Markovian switching and Lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 94-104.

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