Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model
Joint Authors
Xue, Yakui
Kang, Aihua
Fu, Jianping
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A Leslie-Gower ecoepidemic model with disease in the predators is constructed and analyzed.
The total population is subdivided into three subclasses, namely, susceptible predator, infected predator, and prey population.
The positivity, boundness of solutions, and the existence of the equilibria are studied, and the sufficient conditions of local asymptotic stability of the equilibria are obtained by the Routh-Hurwitz criterion.
We analyze the global stability of the interior equilibria by using Lyapunov functions.
It is observed that a Hopf bifurcation may occur around the interior equilibrium.
At last, numeric simulations are performed in support of the feasibility of the main result.
American Psychological Association (APA)
Kang, Aihua& Xue, Yakui& Fu, Jianping. 2015. Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1060398
Modern Language Association (MLA)
Kang, Aihua…[et al.]. Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1060398
American Medical Association (AMA)
Kang, Aihua& Xue, Yakui& Fu, Jianping. Dynamic Behaviors of a Leslie-Gower Ecoepidemiological Model. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1060398
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060398