A Lotka-Volterra competition model and its global convergence to a definite axial equilibrium

被引：3

作者：

Sikder, A ^{[1
]}

机构：

[1] Ramkrishna Res Inst Sci, Dept Math, Kolkata 700008, W Bengal, India

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2002年 / 44卷 / 04期

关键词：

four competing species; exclusion of periodic orbits in 3D; Conley connection matrix; permanent state;

D O I：

10.1007/s002850100125

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a four-species model based on competition and show that the whole four-species system collapses to a definite single species equilibrium at its carrying capacity. To do so, we use the results of Hirsch [4], Van Den Driessche and Zeeman [20], Hofbauer and Sigmund [5], and the product theorem of the Conley connection matrix theory by Mischaikow and Reineck [10].

引用

页码：297 / 308

页数：12

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