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.
引用
收藏
页码：1 / 9
页数：9
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