Title :
Positive periodic solution for a delay diffusive predator-prey system with Holling type III functional response and harvest impulse
Author :
Tu, Zhengwen ; Zha, Zhongwei ; Zhang, Ting ; Jian, Jigui
Author_Institution :
Sch. of Mathematic & Statisitcs, Chongqing Three Gorges Univ., Chongqing, China
Abstract :
In this paper, a delay diffusive predator-prey system with Holling type III functional response and harvest impulse is investigated. By employing the continuation theorem of Mawhin´s coincidence degree, some new and interesting sufficient conditions about the existence of positive periodic solution for this system are derived. Finally, An numerical example is given to illustrate the validity of the obtained results.
Keywords :
delays; predator-prey systems; Holling type III functional response; Mawhin coincidence degree continuation theorem; delay diffusive predator prey system; harvest impulse; positive periodic solution; sufficient conditions; Delay; Differential equations; Educational institutions; Electronic mail; Equations; Predator prey systems;
Conference_Titel :
Advanced Computational Intelligence (IWACI), 2011 Fourth International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-61284-374-2
DOI :
10.1109/IWACI.2011.6160058