A nonlinear age and maturity structured model of population dynamics - II. Chaos

被引：25

作者：

Dyson, J ^{[1
]}

Villella-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 / 02期

关键词：

population problems; semigroup of operators; hypercyclicity; chaos;

D O I：

10.1006/jmaa.1999.6657

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Instability, hypercyclicity and chaos are investigated in a nonlinear model of age and maturity structured population dynamics. It is demonstrated that the behavior of solutions depends on the viewpoint of the observer. Viewed in the direction of age structure the population stabilizes to a regular distribution. Viewed in the direction of maturity structure there is the possibility of chaotic behavior. (C) 2000 Academic Press.

引用

页码：255 / 270

页数：16

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