The effect of diffusion on the varying logistic population growth

被引：50
|
作者：
Cui, JA [1 ]
Chen, LS
机构：
[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
[2] Xinjiang Univ, Dept Math, Urumqi 830046, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 03期
基金：
中国国家自然科学基金;
关键词：
logistic equation; diffusion; permanence; periodic solution; stability;
D O I：
10.1016/S0898-1221(98)00124-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the effect of diffusion on the species that live in changing patches environment. Different from the former studies [1-4], we pay attention to the more important situation in conservation biology that species live in a weak patches environment, in the sense that species in some of the isolated patches will be extinct without the contribution from other patches. We obtain an interesting result: the identical species can persist for some diffusion rates, and can also vanish for another set of restriction on diffusion rates. (C) 1998 Elsevier Science Ltd. All rights reserved.
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页码：1 / 9
页数：9
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