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Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We present and analyze a modified Holling type-II predator-prey model that includes some important factors such as Allee effect, density-dependence, and environmental noise.
By constructing suitable Lyapunov functions and applying Itô formula, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability.
A series of numerical simulations to illustrate these mathematical findings are presented.
American Psychological Association (APA)
Rao, Feng. 2013. Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-464199
Modern Language Association (MLA)
Rao, Feng. Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-464199
American Medical Association (AMA)
Rao, Feng. Dynamical Analysis of a Stochastic Predator-Prey Model with an Allee Effect. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-464199
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464199