Global Stability of An Eco-epidemiological Model with Beddington-DeAngelis Functional Response and Delay

doi:10.13371/j.cnki.chin.q.j.m.2019.04.006

Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (4): 397-409.doi: 10.13371/j.cnki.chin.q.j.m.2019.04.006

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Global Stability of An Eco-epidemiological Model with Beddington-DeAngelis Functional Response and Delay

1. Faculty of Science and Technology, University of Macau 2. Complex Systems Research Center, Shanxi University

Received:2016-12-17 Online:2019-12-30 Published:2020-08-21
Supported by:
supported by the National Natural Science Foundation of China(No.11371368)and(No.11871316)

Abstract

Abstract: In this paper,an eco-epidemiological model with Beddington-DeAngelis functional response and a time delay representing the gestation period of the predator is studied.By means of Lyapunov functionals and Laselle’s invariance principle,sufficient conditions are obtained for the global stability of the interior equilibrium and the disease-free equilibrium of the system,respectively.

Key words: Eco-epidemiological model, delay, Laselle's invariance principle, global stability

CLC Number:

R181
O175

BAI Hong-fang, XU Rui. Global Stability of An Eco-epidemiological Model with Beddington-DeAngelis Functional Response and Delay[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(4): 397-409.

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Global Stability of An Eco-epidemiological Model with Beddington-DeAngelis Functional Response and Delay

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