Existence and exponential stability of almost periodic solutions for a class of Lasota-Wazewska models with patch structure on time scales

摘要

In this paper, we study the almost periodic solutions for a class of Lasota-Wazewska models with patch structure on time scales. By using a fixed-point theorem and inequality techniques, some sufficient conditions are obtained which guarantee the existence and exponential stability of the almost periodic solutions. The criteria extend and improve some earlier results. Moreover, we give an examples to illustrate our main results.