GLOBAL EXPONENTIAL STABILITY OF PERIODIC SOLUTIONS TO A DELAY LASOTA-WAZEWSKA MODEL WITH DISCONTINUOUS HARVESTING

被引：22

作者：

Duan, Lian ^{[1
]}

Huang, Lihong ^{[1
]}

Chen, Yuming ^{[2
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 02期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Lasota-Wazewska model; positive periodic solution; global exponential stability; discontinuous harvesting; Lyapunov function; THRESHOLD MANAGEMENT POLICY; ECONOMIC THRESHOLDS; EXISTENCE; DYNAMICS; BIFURCATIONS; ATTRACTIVITY; POPULATION; SYSTEMS; IMPACT;

D O I：

10.1090/proc12714

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a delay Lasota-Wazewska model with discontinuous harvesting, which is described by a periodic nonsmooth dynamical system. Based on a newly developed method, nonsmooth analysis, and the generalized Lyapunov method, easily verifiable delay-independent criteria are established to ensure the existence and global exponential stability of positive periodic solutions, which not only cover but also complement some existing ones. These theoretical results are also supported with numerical simulations.

引用

页码：561 / 573

页数：13

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