Dynamical behavior of a stochastic delayed one-predator and two-mutualistic-prey model with Markovian switching and different functional responses
type: Item
instance of: scholarly article
title: Dynamical behavior of a stochastic delayed one-predator and two-mutualistic-prey model with Markovian switching and different functional responses
zbMATH Open document ID: 1417.92132
DOI: 10.1155/2016/8453175
author: Rensheng He
author: Zuoliang Xiong
author: Desheng Hong
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 7026912
MaRDI profile type: Publication
Wikidata QID: Q59123677
full work available at URL: https://doi.org/10.1155/2016/8453175
OpenAlex ID: W2482807209
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description: scientific article; zbMATH DE number 7026912