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

被引：0
|
作者：
Asim Sikder
机构：
[1] Department of Mathematics,
[2] The Ramkrishna Research Institute For Science,undefined
[3] Calcutta 700008,undefined
[4] India. e-mail: asim2001@vsnl.net,undefined
来源：
Journal of Mathematical Biology | 2002年 / 44卷
关键词：
Single Species; Matrix Theory; Global Convergence; Competition Model; Product Theorem;
D O I：
暂无
中图分类号：
学科分类号：
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].
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页码：297 / 308
页数：11
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