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
收藏
页码：845 / 854
页数：10
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