The asymptotic behavior of a Chemostat model with Crowley-Martin type functional response and time delays

被引：29

作者：

Dong, Qinglai ^{[1
]}

Ma, Wanbiao ^{[2
]}

Sun, Mingjuan ^{[1
]}

机构：

[1] Yanan Univ, Sch Math & Comp Sci, Yanan 716000, Peoples R China

[2] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2013年 / 51卷 / 05期

关键词：

Chemostat; Crowley-Martin type functional response; Lyapunov-LaSalle invariance principle; Stability; Time delay; COMPETITION; INTERFERENCE;

D O I：

10.1007/s10910-012-0138-z

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this paper, we introduce an improved Chemostat model with Crowley-Martin type functional response and time delays. By constructing Lyapunov functionals, the global asymptotic stability of the equilibria is shown in the case of a single species. The conditions for the global asymptotical stability of the model with time delays are obtained via monotone dynamical systems in the case of two species. Our results demonstrate that the effects of predator interference may result in coexistence of two species.

引用

页码：1231 / 1248

页数：18

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