Effect of pollution on predator-prey systems

被引：0
|
作者：
Lawaniya, Pinky [1 ]
Sinha, Soumya [1 ]
Kumar, Ravinder [1 ]
机构：
[1] Deemed Univ, Dayalbagh Educ Inst, Dept Math, Agra 282005, UP, India
来源：
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2021年 / 11卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
predator-prey system; bio-magnification; Gause type model; global stability; persistence; periodic solutions; pollution;
D O I：
10.1504/IJDSDE.2021.117362
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a mathematical model is proposed to study the effect of environmental pollution on a predator-prey system. The conditions for the local and global stability of the equilibria are obtained. The possibility of occurrence of periodic solutions is analysed and further existence of Hopf Bifurcation with respect to the appropriate parameter is examined. The conditions for uniform persistence of the model are obtained. The results of persistence and Hopf Bifurcation with respect to the appropriate parameter are verified through numerical simulations.
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页码：359 / 377
页数：19
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