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Stochastic Permanence, Stationary Distribution and Extinction of a Single-Species Nonlinear Diffusion System with Random Perturbation
Joint Authors
O'Regan, Donal
Zu, Li
Jiang, Daqing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-22
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We analyze the influence of stochastic perturbations on a single-species logistic model with the population’s nonlinear diffusion among n patches.
First, we show that this system has a unique positive solution.
Then we obtain sufficient conditions for stochastic permanence and persistence in mean, stationary distribution, and extinction.
Finally, we illustrate our conclusions through numerical simulation.
American Psychological Association (APA)
Zu, Li& Jiang, Daqing& O'Regan, Donal. 2014. Stochastic Permanence, Stationary Distribution and Extinction of a Single-Species Nonlinear Diffusion System with Random Perturbation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013709
Modern Language Association (MLA)
Zu, Li…[et al.]. Stochastic Permanence, Stationary Distribution and Extinction of a Single-Species Nonlinear Diffusion System with Random Perturbation. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1013709
American Medical Association (AMA)
Zu, Li& Jiang, Daqing& O'Regan, Donal. Stochastic Permanence, Stationary Distribution and Extinction of a Single-Species Nonlinear Diffusion System with Random Perturbation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1013709
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013709