Permanence of population growth models with impulsive effects

被引：158

作者：

Ballinger, G ^{[1
]}

Liu, X ^{[1
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Fac Math, Waterloo, ON N2L 3G1, Canada

来源：

MATHEMATICAL AND COMPUTER MODELLING | 1997年 / 26卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

permanence; population growth models; impulses; Lyapunov function;

D O I：

10.1016/S0895-7177(97)00240-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper establishes criteria for permanence of populations which undergo impulsive effects at fixed times between intervals of continuous evolution governed by a differential system. It is also shown that suitable impulses may prevent the extinction or unbounded growth of populations whose evolutions are otherwise governed solely by a differential system. Examples are provided to demonstrate the application of the results obtained.

引用

页码：59 / 72

页数：14

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