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

页码：1567 / 1579

页数：13

共 11 条

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