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

Autor:	Rensheng He, Zuoliang Xiong, Desheng Hong
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Mathematics QA1-939
Zdroj:	Discrete Dynamics in Nature and Society, Vol 2016 (2016)
Druh dokumentu:	article
ISSN:	1026-0226 1607-887X
DOI:	10.1155/2016/8453175
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b3e5108eb068495bb010133e7078f085 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF