Title :
Existence and exponential stability of almost periodic solutions for a class of Lasota-Wazewska models with patch structure on time scales
Author :
Qin Fajin ; Yao Xiaojie
Author_Institution :
Dept. of Math. & Comput. Sci., Liuzhou Teachers Coll., Liuzhou, China
Abstract :
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.
Keywords :
asymptotic stability; periodic control; Lasota-Wazewska model; almost periodic solutions; exponential stability; fixed point theorem; inequality technique; patch structure; sufficient conditions; time scale; Computational modeling; Control theory; Delays; Mathematical model; Stability; Sufficient conditions; Almost Periodic Solution; Exponentially Stable; Lasota-Wazewska Model; Time scales;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895806