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Dynamical Behavior of a Stochastic Delayed One-Predator and Two-Mutualistic-Prey Model with Markovian Switching and Different Functional Responses
Joint Authors
Xiong, Zuoliang
He, Rensheng
Hong, Desheng
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-07-19
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
He, Rensheng& Xiong, Zuoliang& Hong, Desheng. 2016. Dynamical Behavior of a Stochastic Delayed One-Predator and Two-Mutualistic-Prey Model with Markovian Switching and Different Functional Responses. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1103615
Modern Language Association (MLA)
He, Rensheng…[et al.]. Dynamical Behavior of a Stochastic Delayed One-Predator and Two-Mutualistic-Prey Model with Markovian Switching and Different Functional Responses. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1103615
American Medical Association (AMA)
He, Rensheng& Xiong, Zuoliang& Hong, Desheng. Dynamical Behavior of a Stochastic Delayed One-Predator and Two-Mutualistic-Prey Model with Markovian Switching and Different Functional Responses. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1103615
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103615