Chaotic dynamics of a food web in a chemostat

被引：31

作者：

Vayenas, DV ^{[1
]}

Pavlou, S ^{[1
]}

机构：

[1] Univ Patras, Dept Chem Engn, Inst Chem Engn & High Temp Chem Proc, FORTH, GR-26500 Patras, Greece

来源：

MATHEMATICAL BIOSCIENCES | 1999年 / 162卷 / 1-2期

关键词：

population dynamics; chemostat; operating diagram; food web; chaos;

D O I：

10.1016/S0025-5564(99)00044-9

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We analyze a mathematical model of a simple food web consisting of one predator and two prey populations in a chemostat. Monod's model is employed for the dependence of the specific growth rates of the two prey populations on the concentration of the rate-limiting substrate and a generalization of Monod's model for the dependence of the specific growth rate of the predator on the concentrations of the prey populations. We use numerical bifurcation techniques to determine the effect of the operating conditions of the chemostat on the dynamics of the system and construct its operating diagram. Chaotic behavior resulting from successive period doublings is observed. Multistability phenomena of coexistence of steady and periodic states at the same operating conditions are also found. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：69 / 84

页数：16