Complex dynamics in an eco-epidemiological model with the cost of anti-predator behaviors

被引：0
作者：
Yiping Tan
Yongli Cai
Ruoxia Yao
Maolin Hu
Weiming Wang
机构：
[1] Shaanxi Normal University,School of Computer Science
[2] Huaiyin Normal University,School of Mathematics and Statistics
来源：
Nonlinear Dynamics | 2022年 / 107卷
关键词：
Fear factor; Eco-epidemiological model; Hopf bifurcation; Extinction;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the complex dynamics of a predator–prey model with disease in the prey, which is characterized by the reduction of prey growth rate due to the anti-predator behavior. The value of this study lies in two aspects: Mathematically, it provides the existence and the stability of the equilibria and gives the existence of Hopf bifurcation. And epidemiologically, we find that the influence of the fear factor is complex: (i) The level of the population density decreases with the increasing of the fear factor; (ii) the cost of fear can destabilize the stability and benefit the emergency of the periodic behavior; and (iii) the high level of fear can induce the extinction of the predator. These results may enrich the dynamics of the eco-epidemiological systems.
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页码：3127 / 3141
页数：14
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