Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response

被引：1
|
作者：
Ding, Dehong [1 ]
Fang, Kui [1 ]
Zhao, Yang [2 ,3 ]
机构：
[1] Hunan Agr Univ, Coll Informat Sci & Technol, Changsha 410128, Hunan, Peoples R China
[2] Jiangmen Polytech, Elect & Informat Engn Dept, Jiangmen 529000, Peoples R China
[3] Jilin Univ, Coll Instrumentat & Elect Engn, Changchun 130061, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
关键词：
POSITIVE PERIODIC-SOLUTIONS; VOLTERRA COMPETITION SYSTEMS; FOOD-CHAIN MODEL; ASYMPTOTIC STABILITY; GLOBAL ATTRACTIVITY; EXISTENCE; DIFFUSION;
D O I：
10.1155/2015/797542
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic stability of positive periodic solutions of the model.
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页数：8
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