Periodic solutions for a delayed predator-prey system with stage-structured predator on time scales

被引：6
|
作者：
Zeng, Zhijun [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 11期
基金：
高等学校博士学科点专项科研基金; 俄罗斯科学基金会; 中国国家自然科学基金;
关键词：
Time scale; Stage structure; Delay; Holling III functional response; Beddington-DeAngelis functional response; Coincidence degree; DYNAMICS; MODELS;
D O I：
10.1016/j.camwa.2011.04.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a modified delayed predator-prey system with stage structure for predator is proposed and studied, which generalizes and incorporates as special cases some known models. With the help of continuation theorem based on the Gaines and Mawhin coincidence degree theory, we investigate the existence of periodic solutions for the proposed delayed predator-prey system with stage-structured predator and two kinds of functional responses (called Holling III functional response and Beddington-DeAngelis functional response) on time scales. In particular, when the time scale is chosen as the set of the real numbers or the integers, the existence of the periodic solutions of the corresponding continuous-time and discrete-time models follows. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3298 / 3311
页数：14
相关论文
共 50 条
12345