The Complex Dynamics of a Stochastic Predator-Prey Model
Joint Authors
Wang, Weiming
Wang, Xixi
Cai, Yongli
Huang, Huilin
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-18
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
A modified stochastic ratio-dependent Leslie-Gower predator-prey model is formulated and analyzed.
For the deterministic model, we focus on the existence of equilibria, local, and global stability; for the stochastic model, by applying Itô formula and constructing Lyapunov functions, some qualitative properties are given, such as the existence of global positive solutions, stochastic boundedness, and the global asymptotic stability.
Based on these results, we perform a series of numerical simulations and make a comparative analysis of the stability of the model system within deterministic and stochastic environments.
American Psychological Association (APA)
Wang, Xixi& Huang, Huilin& Cai, Yongli& Wang, Weiming. 2012. The Complex Dynamics of a Stochastic Predator-Prey Model. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-469070
Modern Language Association (MLA)
Wang, Xixi…[et al.]. The Complex Dynamics of a Stochastic Predator-Prey Model. Abstract and Applied Analysis No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-469070
American Medical Association (AMA)
Wang, Xixi& Huang, Huilin& Cai, Yongli& Wang, Weiming. The Complex Dynamics of a Stochastic Predator-Prey Model. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-469070
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469070