Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses
Joint Authors
Wang, Changjian
Xiong, Zuoliang
He, Rensheng
Yin, Hongwei
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
2016-11-17
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is devoted to stochastic delayed one-predator and two-competing-prey systems with two kinds of different functional responses.
By establishing appropriate Lyapunov functions, the globally positive solution and stochastic boundedness are investigated.
In some case, the stochastic permanence and extinction are also obtained.
Moreover, sufficient conditions of the global asymptotic stability of the system are established.
Finally, some numerical examples are provided to explain our conclusions.
American Psychological Association (APA)
Wang, Changjian& Xiong, Zuoliang& He, Rensheng& Yin, Hongwei. 2016. Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1103572
Modern Language Association (MLA)
Wang, Changjian…[et al.]. Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1103572
American Medical Association (AMA)
Wang, Changjian& Xiong, Zuoliang& He, Rensheng& Yin, Hongwei. Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1103572
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103572
