Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments

Advances in Difference Equations

Jianjun Jiao¹  Lansun Chen² 

[1] Guizhou Key Laboratory of Economic System Simulation, School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang, China;Institute of Mathematics, Academy of Mathematics and System Sciences, Beijing, China

关键词: Periodic Solution;    Global Attraction;    Comparison Theorem;    Predator Population;    Impulsive Differential Equation;   

DOI  :  10.1155/2010/954684

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider a delayed Holling type II predator-prey system with birth pulse and impulsive harvesting on predator population at different moments. Firstly, we prove that all solutions of the investigated system are uniformly ultimately bounded. Secondly, the conditions of the globally attractive prey-extinction boundary periodic solution of the investigated system are obtained. Finally, the permanence of the investigated system is also obtained. Our results provide reliable tactic basis for the practical biological economics management.

【 授权许可】

CC BY