An impulsive prey-predator system with stage-structure and Holling II functional response

Advances in Difference Equations

Weili Kong¹  Zhixiang Ju²  Xiangmin Ma²  Yuanfu Shao²  Xianjia Fang² 

[1] College of Teacher Education, Qujing Normal University, Qujing, P.R. China;School of Science, Guilin University of Technology, Guilin, P.R. China

关键词: stage-structure;    impulsive;    global attractivity;    permanence;   

DOI  :  10.1186/1687-1847-2014-280

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Taking into account that individual organisms usually go through immature and mature stages, in this paper, we investigate the dynamics of an impulsive prey-predator system with a Holling II functional response and stage-structure. Applying the comparison theorem and some analysis techniques, the sufficient conditions of the global attractivity of a mature predator periodic solution and the permanence are investigated. Examples and numerical simulations are shown to verify the validity of our results.

【 授权许可】

CC BY