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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

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Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 34

Global dynamics of an eco-epidemiological model with Beddington-Deangelis functional response

Xiaohong Tian, Rui Xu, Zhili Wang

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Abstract

In this paper, a predator-prey eco-epidemiological model with Beddington-DeAngelis functional response is investigated. In the model, it is assumed that the predator population suffers a transmissible disease. By means of Lyapunov functions and LaSalle’s invariance principle, sufficient conditions are derived for the global stability of the endemic-coexistence equilibrium, the disease-free equilibrium and the predator-extinction equilibrium of the system, respectively.

Published
28 October 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Xiaohong Tian, Rui Xu, Zhili Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

X. Tian, R. Xu, Z. Wang, Global dynamics of an eco-epidemiological model with Beddington-Deangelis functional response, Commun. Math. Biol. Neurosci. 2015 (2015), 34.

BibTeX
@article{Tian2015,
  author  = {Tian, Xiaohong and Xu, Rui and Wang, Zhili},
  title   = {Global dynamics of an eco-epidemiological model with Beddington-Deangelis functional response},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {34},
  doi     = {}
}