The influence of fear effect to the Lotka–Volterra predator–prey system with predator has other food resource

Advances in Difference Equations

article

Zhu, Zhenliang¹  Wu, Runxin²  Lai, Liyun¹  Yu, Xiangqin¹ 

[1] College of Mathematics and Computer Science, Fuzhou University;Mathematics and Physics Institute, Fujian University of Technology

关键词: Lotka–Volterra predator–prey model;    Stability;    Fear effect;   

DOI  :  10.1186/s13662-020-02612-1

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY