Global Stability of a Stage-Structured Predator-Prey Model with Stochastic Perturbation
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper is concerned with a new predator-prey model with stage structure on prey, in which the immature prey and the mature prey are preyed on by predator.
We think that the model is more realistic and interesting than the one in which only the immature prey or the mature prey is consumed by predator.
Our work shows that the stochastic model and its corresponding deterministic system have a unique global positive solution and the positive solution is global asymptotic stability for each model.
If the positive equilibrium point of the deterministic system is globally stable, then the stochastic model will preserve the nice property provided that the noise is sufficiently small.
Results are analyzed with the help of graphical illustrations.
American Psychological Association (APA)
Yang, Liu& Zhong, Shouming. 2014. Global Stability of a Stage-Structured Predator-Prey Model with Stochastic Perturbation. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-477542
Modern Language Association (MLA)
Yang, Liu& Zhong, Shouming. Global Stability of a Stage-Structured Predator-Prey Model with Stochastic Perturbation. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-477542
American Medical Association (AMA)
Yang, Liu& Zhong, Shouming. Global Stability of a Stage-Structured Predator-Prey Model with Stochastic Perturbation. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-477542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477542