文章基本信息

标题：The influence of fear effect to the Lotka–Volterra predator–prey system with predator has other food resource
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作者：Zhenliang Zhu ; Runxin Wu ; Liyun Lai 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-13
DOI：10.1186/s13662-020-02612-1
出版社：Hindawi Publishing Corporation
摘要：A Lotka–Volterra predator–prey system incorporating fear effect of the prey and the predator has other food resource is proposed and studied in this paper. It is shown that the trivial equilibrium and the predator free equilibrium are both unstable, and depending on some inequalities, the system may have a globally asymptotically stable prey free equilibrium or positive equilibrium. Our study shows the fear effect is one of the most important factors that lead to the extinction of the prey species. Such a finding is quite different from the known result. Numeric simulations are carried out to show the feasibility of the main results.
关键词：Lotka–Volterra predator–prey model;Stability;Fear effect;