Title :
Existence and nonexistence of positive periodic solution for impulsive Nicholson´s blowflies model with both delay and harvesting term
Author :
Qin Fajin ; Yao Xiaojie ; Wang Lingzhi
Author_Institution :
Dept. of Math. & Comput. Sci., Liuzhou Teachers Coll., Liuzhou, China
Abstract :
In this paper, impulsive Nicholson´s blowflies with both delay and harvesting terrm is studied. By using Leray-Schauder fixed point theorem, we obtain some sufficient conditions for the existence of positive periodic solutions. In addition, the nonexistence of positive periodic solution is also investigated. Our results extend and improve the previous literatures.
Keywords :
delays; periodic control; Leray-Schauder fixed point theorem; delay terrm; harvesting terrm; impulsive Nicholson blowflies model; positive periodic solution; Computational modeling; Computer science; Delays; Educational institutions; Electronic mail; Mathematical model; Delay; Fixed-point Theorem; Harvesting Term; Impulsive Nicholson´s Blowflies Model; Leray-Schauder; Positive Periodic Solution;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an