作者
Benjamin Leard, Catherine Lewis, Jorge Rebaza
发表日期
2008/2/29
期刊
Discrete and Continuous Dynamical Systems-S
卷号
1
期号
2
页码范围
303-315
出版商
Discrete and Continuous Dynamical Systems-S
简介
The dynamics of constant harvesting of a single species has been studied extensively within the framework of ratio-dependent predator-prey models. In this work, we investigate the properties of a Michaelis-Menten ratio-dependent predator-prey model with two nonconstant harvesting functions depending on the prey population. Equilibria and periodic orbits are computed and their stability properties are analyzed. Several bifurcations are detected as well as connecting orbits, with an emphasis on analyzing the equilibrium points at which the species coexist. Smooth numerical continuation is performed that allows computation of branches of solutions.
学术搜索中的文章
B Leard, C Lewis, J Rebaza - Discrete and Continuous Dynamical Systems-S, 2008