文章基本信息

标题：Global existence and blow-up analysis to a cooperating model with self-diffusion
本地全文：下载
作者：Linling Zhu ; Zhi Ling ; Zhigui Lin 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：166
DOI：10.1186/1687-1847-2014-166
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a two-species cooperating model with free diffusion and self-diffusion is investigated. The existence of the global solution is first proved by using lower and upper solution method. Then the sufficient conditions are given for the solution to blow up in a finite time. Our results show that the solution is global if the intra-specific competition is strong, while if the intra-specific competition is weak and the self-diffusion rate is small, blow-up occurs provided that the initial value is large enough or the free diffusion rate is small. Numerical simulations are also given to illustrate the blow-up results. MSC:35K57, 92D25.
关键词：global solution ; blow-up ; self-diffusion ; cooperating model