Coexistence in competition models with density-dependent mortality

被引：63

作者：

Ruan, Shigui ^{[1
]}

Ardito, Ada ^{[2
]}

Ricciardi, Paolo ^{[2
]}

DeAngelis, Don L. ^{[3
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[3] Univ Miami, Dept Biol, Coral Gables, FL 33124 USA

来源：

COMPTES RENDUS BIOLOGIES | 2007年 / 330卷 / 12期

关键词：

competition; functional response; density-dependent mortality; competitive exclusion; coexistence;

D O I：

10.1016/j.crvi.2007.10.004

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a two-competitor/one-prey model in which both competitors exhibit a general functional response and one of the competitors exhibits a density-dependent mortality rate. It is shown that the two competitors can coexist upon the single prey. As an example, we consider a two-competitor/one-prey model with a Holling II functional response. Our results demonstrate that density-dependent mortality in one of the competitors can prevent competitive exclusion. Moreover, by constructing a Liapunov function, the system has a globally stable positive equilibrium.

引用

页码：845 / 854

页数：10

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