Global Dynamics of a Predator-Prey Model with Prey Refuge and Disease

Global Dynamics of a Predator-Prey Model with Prey Refuge and Disease

Year:    2018

Author:    Zaowang Xiao, Zhong Li

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 1 : pp. 80–93

Abstract

In this paper, we study a predator-prey model with prey refuge and disease. We study the local asymptotic stability of the equilibriums of the system. Further, we show that the equilibria are globally asymptotically stable if the equilibria are locally asymptotically stable. Some examples are presented to verify our main results. Finally, we give a brief discussion.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2018-AAM-20564

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 1 : pp. 80–93

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    predator-prey model prey refuge disease stability.

Author Details

Zaowang Xiao

Zhong Li