Global dynamics and numerical bifurcation of a bioeconomic system

被引：1

作者：

Lajmiri, Zeynab ^{[1
]}

Orak, Iman ^{[1
]}

Fereidooni, Reza ^{[2
]}

机构：

[1] Islamic Azad Univ, Sama Tech & Vocat Training Coll, Izeh Branch, Izeh, Iran

[2] Oxin Steel Co Khozestan, Khozestan, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2021年 / 9卷 / 02期

关键词：

Hopf bifurcation; Bogdanov-Takens bifurcation; Dynamical behavior; Cusp bifurcations; PREDATOR-PREY SYSTEM; STABILITY ANALYSIS; MODEL;

D O I：

10.22034/cmde.2020.29491.1421

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A predator-prey model was extended to include nonlinear harvesting of the predator guided by its population, such that harvesting is only implemented if the predator population exceeds an economic threshold. Theoretical results showed that the harvesting system undergoes multiple bifurcations, including fold, supercritical Hopf, Bogdanov-Takens and cusp bifurcations. We determine stability and dynamical behaviors of the equilibrium of this system. Numerical simulation results are given to support our theoretical results.

引用

页码：427 / 445

页数：19

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