The stability of nonlinear age-dependent population equation

被引：3

作者：

Li, XR ^{[1
]}

机构：

[1] Xian Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 1998年 / 11卷 / 06期

关键词：

population equation; age-structure; stability; newborn equivalent quantity;

D O I：

10.1016/S0893-9659(98)00096-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A kind of size-dependent age-structured single species population equation with a random gestation period is discussed. A generalized population size E, called "the newborn equivalent quantity" is defined. The stability of a positive equilibrium is studied when the control function is chosen to be E. It is proved that if E is unfavorable to both survival and reproduction, the unique positive equilibrium is globally asymptotically stable. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：19 / 26

页数：8

共 10 条

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