Survival of the fittest in a generalized logistic model

被引：25

作者：

Ackleh, AS ^{[1
]}

Marshall, DF

Heatherly, HE

Fitzpatrick, BG

机构：

[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA

[2] Ternpest Technol LLC, Studio City, CA 91604 USA

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1999年 / 9卷 / 09期

关键词：

D O I：

10.1142/S0218202599000610

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the asymptotic behavior of a logistic model with distributed growth and mortality rates. In particular, we prove that the entire population becomes concentrated within the subpopulation with highest growth to mortality ratio, and converges to the equilibrium defined by this ratio. Finally, we present a numerical example illustrating the theoretical results.

引用

页码：1379 / 1391

页数：13

共 11 条

[1] Estimation of rate distributions in generalized Kolmogorov community models [J].