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

被引:3
|
作者
Ju, Zhixiang [1 ]
Shao, Yuanfu [1 ]
Kong, Weili [2 ]
Ma, Xiangmin [1 ]
Fang, Xianjia [1 ]
机构
[1] Guilin Univ Technol, Sch Sci, Guilin 541004, Guangxi, Peoples R China
[2] Qujing Normal Univ, Coll Teacher Educ, Qujing 655011, Yunnan, Peoples R China
基金
中国国家自然科学基金;
关键词
stage-structure; impulsive; global attractivity; permanence; FOOD-CHAIN; MODEL; BEHAVIORS; DYNAMICS;
D O I
10.1186/1687-1847-2014-280
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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.
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页数:16
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