DYNAMICAL ANALYSIS OF AN AMENSALISM SYSTEM WITH THE IMPULSIVE HARVESTING

被引：1

作者：

Liu, Xiangsen ^{[1
]}

Liu, Maoxing ^{[1
]}

机构：

[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2021年 / 25卷 / 01期

基金：

中国国家自然科学基金;

关键词：

amensalism system; impulsive harvesting; transcritical bifurcations; stability; MODEL;

D O I：

10.17654/DE025010075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose and study a new amensalism system with the impulsive harvesting and nonlinear functional response. The existence of the first species-free periodic solution is investigated. We employ the approach and techniques coming from epidemiology and calculate the basic reproduction number for the first species. Using the basic reproduction number, we consider the global attraction of the first species-free periodic solution and uniform persistence of the first species. The existence of the transcritical bifurcations is considered by means of the bifurcation theory. The global stability of positive periodic solutions is discussed. Furthermore, some numerical simulations are given to illustrate our results.

引用

页码：75 / 97

页数：23

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