Title :
The study of a predator-prey model with impulsive harvesting strategy
Author :
Shi, Ruiqing ; Zhang, Jianli
Author_Institution :
Coll. of Math. & Inf. Sci., Shaanxi Normal Univ., Xi´´an, China
Abstract :
In this paper, a predator-prey model with time delay and stage structure is constructed and analyzed. In the model, the effect of impulsive harvesting on the system is considered. The predator is divided into two subclasses, the mature and immature. Only mature predator can catch the prey. We obtain the sufficient condition for the global attractivity of the predator eradication periodic solution of the system. The conditions for the permanence of the system are also established by the method of comparison skills.
Keywords :
delays; predator-prey systems; impulsive harvesting strategy; predator eradication periodic solution; predator-prey model; time delay; Analytical models; Biological system modeling; Computational modeling; Delay effects; Equations; Mathematical model; Predator prey systems; Harvesting; Permanence; Stage structure; Time delay; impulsive;
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2011 International Conference on
Conference_Location :
XianNing
Print_ISBN :
978-1-61284-458-9
DOI :
10.1109/CECNET.2011.5768444
