期刊
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
卷 17, 期 1, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793524523500109
关键词
Predator-prey system; Allee effect; fear effect; prey refuge; bifurcation; population density
This paper investigates a nonlinear ratio-dependent prey-predator model with constant prey refuge, incorporating Allee and fear phenomena in the prey population. The qualitative behaviors of the model are studied around equilibrium points, including Hopf bifurcation and its direction and stability. The study shows that fear of predation risk can have both stabilizing and destabilizing effects, and an increase in prey refuge drives the system towards stability. Numerical simulations using MATLAB software explore the dynamical behaviors of the system.
In this paper, we consider a nonlinear ratio-dependent prey-predator model with constant prey refuge in the prey population. Both Allee and fear phenomena are incorporated explicitly in the growth rate of the prey population. The qualitative behaviors of the proposed model are investigated around the equilibrium points in detail. Hopf bifurcation including its direction and stability for the model is also studied. We observe that fear of predation risk can have both stabilizing and destabilizing effects and induces bubbling phenomenon in the system. It is also observed that for a fixed strength of fear, an increase in the Allee parameter makes the system unstable, whereas an increase in prey refuge drives the system toward stability. However, higher values of both the Allee and prey refuge parameters have negative impacts and the populations go to extinction. Further, we explore the variation of densities of the populations in different bi-parameter spaces, where the coexistence equilibrium point remains stable. Numerical simulations are carried out to explore the dynamical behaviors of the system with the help of MATLAB software.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据