Dynamical Behavior of a Stochastic Delayed One‐Predator and Two‐Mutualistic‐Prey Model with Markovian Switching and Different Functional Responses

Rensheng He, Zuoliang Xiong and Desheng Hong

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

Abstract: We propose a stochastic delayed one‐predator and two‐mutualistic‐prey model perturbed by white noise and telegraph noise. By the M‐matrix analysis and Lyapunov functions, sufficient conditions of stochastic permanence and extinction are established, respectively. These conditions are all dependent on the subsystems’ parameters and the stationary probability distribution of the Markov chain. We also investigate another asymptotic property and finally give two examples and numerical simulations to illustrate main results.

Date: 2016
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https://doi.org/10.1155/2016/8453175

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:8453175

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