Global stability of a diffusive predator-prey model with discontinuous harvesting policy

被引：9

作者：

Zhang, Xuebing ^{[1
]}

Zhao, Hongyong ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 109卷

基金：

中国国家自然科学基金;

关键词：

Predator-prey model; Diffusive; Discontinuous harvesting policy; Global asymptotic stability; DYNAMICS; SYSTEM; BIFURCATION; EXISTENCE;

D O I：

10.1016/j.aml.2020.106539

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a diffusive predator-prey system with discontinuous harvesting function under Neumann boundary conditions. Then the existence and some estimates of the positive solution of the system are acquired. Based on the differential inclusions theory, we discuss the existence of constant equilibrium. Finally, by constructing a suitable Lyapunov functional, we study the global asymptotic stability of the positive equilibrium. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：8

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