Dynamics of a Stage-Structured Leslie-Gower Predator-Prey Model
Joint Authors
Huo, Hai-Feng
Wang, Xiaohong
Castillo-Chavez, Carlos
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-08
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
A generalized version of the Leslie-Gower predator-prey model that incorporates the prey population structure is introduced.
Our results show that the inclusion of (age) structure in the prey population does not alter the qualitative dynamics of the model; that is, we identify sufficient conditions for the ‘‘trapping’’ of the dynamics in a biological compact set—albeit the analysis is a bit more challenging.
The focus is on the study of the boundedness of solutions and identification of sufficient conditions for permanence.
Sufficient conditions for the local stability of the nonnegative equilibria of the model are also derived, and sufficient conditions for the global attractivity of positive equilibrium are obtained.
Numerical simulations are used to illustrate our results.
American Psychological Association (APA)
Huo, Hai-Feng& Wang, Xiaohong& Castillo-Chavez, Carlos. 2011. Dynamics of a Stage-Structured Leslie-Gower Predator-Prey Model. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-449694
Modern Language Association (MLA)
Huo, Hai-Feng…[et al.]. Dynamics of a Stage-Structured Leslie-Gower Predator-Prey Model. Mathematical Problems in Engineering No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-449694
American Medical Association (AMA)
Huo, Hai-Feng& Wang, Xiaohong& Castillo-Chavez, Carlos. Dynamics of a Stage-Structured Leslie-Gower Predator-Prey Model. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-449694
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449694