Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
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DOI：
10.1016/j.jmaa.2006.09.007
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发表时间：
2007-08-01
影响因子：
1.3
通讯作者：
Zhao, Guangyu
中科院分区：
文献类型：
--
作者：
Bates, Peter W.;Zhao, Guangyu
本文研究了一个非局部演化方程，它被用来模拟生物的空间扩散。在一般条件下研究了这类非局部发展方程正稳定解的存在性、唯一性和稳定性。研究了系统的全局动力学，建立了系统全局渐近性的一个截集。(c)2006爱思唯尔公司All rights reserved.
This paper is concerned with a nonlocal evolution equation which is used to model the spatial dispersal of organisms. We study the existence, uniqueness and stability of the positive steady solution for this nonlocal evolution equation under general conditions. The global dynamics are also investigated and a trichotomy of the global asymptotics is established. (c) 2006 Elsevier Inc. All rights reserved.