一个洛特卡 - 沃尔泰拉竞争模型及其向确定轴向平衡点的全局收敛性。

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

作者信息

Sikder Asim

机构信息

Department of Mathematics, The Ramkrishna Research Institute For Science, Calcutta 700008, India.

出版信息

J Math Biol. 2002 Apr;44(4):297-308. doi: 10.1007/s002850100125.

DOI:10.1007/s002850100125

PMID:11984641

Abstract

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, Van Den Driessche and Zeeman, Hofbauer and Sigmund, and the product theorem of the Conley connection matrix theory by Mischaikow and Reineck.

摘要

我们考虑一个基于竞争的四物种模型，并表明整个四物种系统在其承载能力下会坍缩到一个确定的单物种平衡态。为此，我们利用了赫希、范登德里舍和泽曼、霍夫鲍尔和西格蒙德的结果，以及米沙伊科夫和赖内克的康利连接矩阵理论的乘积定理。