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

作者：Faria Teresa^*

来源：Discrete and Continuous Dynamical Systems-Series B, 2013, 18(6): 1567-1579.

DOI：10.3934/dcdsb.2013.18.1567

• Delay differential equation
• patch structure
• global asymptotic stability
• heteroclinic solution

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.

• 出版日期2013-8