Title :
Existence of global exponential stability of the positive almost periodic solutions for a class of Lasota-Wazewska with mixed delays
Author :
Qin Fajin ; Yao Xiaojie
Author_Institution :
Dept. of Math. & Comput. Sci., Liuzhou Teachers Coll., Liuzhou, China
Abstract :
In this paper, we study the positive almost periodic solutions for a class of Lasota-Wazewska model with mixed delays. By using a fixed-point theorem and differential inequality techniques, some sufficient conditions are obtained which guarantee the existence and global exponential stability of the positive almost periodic solutions. The criteria extend and improve some earlier results. Moreover, we give two examples to illustrate our main results.
Keywords :
asymptotic stability; delays; differential equations; fixed point arithmetic; Lasota-Wazewska model; differential inequality techniques; fixed-point theorem; global exponential stability; mixed delays; positive almost periodic solutions; sufficient conditions; Computer science; Control theory; Delays; Educational institutions; Electronic mail; Mathematics; Stability; Fixed-point Theorem; Global Exponential Stability; Lasota-Wazewska Model; Mixed Delays; Positive Almost Periodic Solution;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
