Bifurcations in nonlinear integral models of biological systems

被引：5

作者：

Hritonenko, N.

Yatsenko, Yuri

机构：

[1] Houston Baptist Univ, Coll Business & Econ, Houston, TX 77074 USA

[2] Prairie View A&M Univ, Dept Math, Prairie View, TX 77446 USA

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2007年 / 38卷 / 05期

关键词：

biological populations; nonlinear models; integral equations; bifurcation; stability;

D O I：

10.1080/00207720701245544

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A bifurcation analysis is suggested for nonlinear integral models of age- distributed biological populations. The analysis shows that the integral model of one- species population with intraspecies competition has zero and positive stationary states for some values of a bifurcation parameter. The nontrivial positive stationary state is initially stable and becomes unstable as the parameter grows. The obtained results are discussed and compared with the corresponding results in differential and difference models.

引用

页码：389 / 399

页数：11

共 32 条

[1]

[Anonymous], 1988, MATH MODELS BIOL

[2]

[Anonymous], 1996, MODELING OPTIMIZATIO, DOI DOI 10.1007/978-1-4613-3446-0

[3]

[Anonymous], METHODS APPL ANAL

[4] On the controllability of the Lotka-McKendrick model of population dynamics [J].