Spatio-temporal oscillation for a singular predator-prey model

被引：3
|
作者：
Guo, Jong-Shenq [1 ]
Shimojo, Masahiko [2 ]
机构：
[1] Tamkang Univ, Dept Math, 151 Yingzhuan Rd, New Taipei 25137, Taiwan
[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 459卷 / 01期
关键词：
Singular predator-prey model; Darboux integrable; Center; Spatial-temporal oscillation; BEHAVIOR; SYSTEM;
D O I：
10.1016/j.jmaa.2017.10.080
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an initial boundary value problem for a reaction diffusion system arising in the study of a singular predator prey system. Under an assumption on the growth rates, we first prove that the unique co-existence state is a center for the kinetic system. Then we prove that solutions of the diffusion system with equal diffusivity become spatially homogeneous and are subject to the kinetic part asymptotically. (C) 2017 Elsevier Inc. All rights reserved.
引用
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页码：1 / 9
页数：9
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