A nonlinear age and maturity structured model of population dynamics - I. Basic theory

被引：40

作者：

Dyson, J ^{[1
]}

Villea-Bressan, R

Webb, G

机构：

[1] Univ Oxford, Mansfield Coll, Oxford, England

[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

[3] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 242卷 / 01期

关键词：

population problems; semigroup of operators; asymptotic behavior;

D O I：

10.1006/jmaa.1999.6656

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

A nonlinear model of age and maturity structured population dynamics is analyzed. The population is structured by age and maturity of the individuals and the nonlinearity in the equations corresponds to density dependent limitation of population growth. The existence and asymptotic behavior of solutions are studied. (C) 2000 Academic Press.

引用

页码：93 / 104

页数：12

共 20 条

[1]

Propagating fronts, chaos and multistability in a cell replication model [J].