Volume 34, Issue 1
Global Dynamics of a Predator-Prey Model with Prey Refuge and Disease

Zaowang Xiao & Zhong Li

Ann. Appl. Math., 34 (2018), pp. 80-93.

Published online: 2022-06

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  • 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.

  • AMS Subject Headings

34D23, 92B05, 92C50

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COPYRIGHT: © Global Science Press

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@Article{AAM-34-80, author = {Xiao , Zaowang and Li , Zhong}, title = {Global Dynamics of a Predator-Prey Model with Prey Refuge and Disease}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {34}, number = {1}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20564.html} }
TY - JOUR T1 - Global Dynamics of a Predator-Prey Model with Prey Refuge and Disease AU - Xiao , Zaowang AU - Li , Zhong JO - Annals of Applied Mathematics VL - 1 SP - 80 EP - 93 PY - 2022 DA - 2022/06 SN - 34 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20564.html KW - predator-prey model, prey refuge, disease, stability. AB -

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.

Xiao , Zaowang and Li , Zhong. (2022). Global Dynamics of a Predator-Prey Model with Prey Refuge and Disease. Annals of Applied Mathematics. 34 (1). 80-93. doi:
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