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

Qun Liu

Applied Mathematics and Computation, 2015, vol. 254, issue C, 1-8

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.

Keywords: Persistence; Extinction; Lyapunov function; Stochastic perturbations; Food-limited Lotka–Volterra cooperative model (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:254:y:2015:i:c:p:1-8

DOI: 10.1016/j.amc.2014.12.142

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