ASYMPTOTIC BEHAVIOUR FOR A CLASS OF DELAYED COOPERATIVE MODELS WITH PATCH STRUCTURE

被引：17
作者：
Faria, Teresa [1 ,2 ]
机构：
[1] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal
[2] Univ Lisbon, Fac Ciencias, CMAF, P-1749016 Lisbon, Portugal
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2013年 / 18卷 / 06期
关键词：
Delay differential equation; patch structure; global asymptotic stability; heteroclinic solution; GLOBAL STABILITY; SYSTEMS;
D O I：
10.3934/dcdsb.2013.18.1567
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a class of cooperative population models with patch structure and multiple discrete delays, we give conditions for the absolute global asymptotic stability of both the trivial solution and - when it exists - a positive equilibrium. The existence of positive heteroclinic solutions connecting the two equilibria is also addressed. As a by-product, we obtain a criterion for the existence of positive traveling wave solutions for an associated reaction-diffusion model with patch structure. Our results improve and generalize criteria in the recent literature.
引用
收藏
页码：1567 / 1579
页数：13
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