A Note On a Prey-Predator Model with Constant-Effort Harvesting

被引：1

作者：

Lemos-Silva, Marcia ^{[1
]}

Torres, Delfim F. M. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat CIDMA, P-3810193 Aveiro, Portugal

来源：

DYNAMIC CONTROL AND OPTIMIZATION, DCO 2021 | 2022年 / 407卷

关键词：

Prey-predator model; Equilibria; Stability; Computer algebra system; SageMath;

D O I：

10.1007/978-3-031-17558-9_11

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study a prey-predator model based on the classical Lotka-Volterra system with Leslie-Gower and Holling IV schemes and a constant-effort harvesting. Our goal is twofold: to present the model proposed by Cheng and Zhang in 2021, pointing out some inconsistencies; to analyse the number and type of equilibrium points of the model. We end by proving the stability of the meaningful equilibrium point, according to the distribution of the eigenvalues.

引用

页码：201 / 209

页数：9