Existence of multiple positive periodic solutions of delayed predator-prey models with functional responses

被引：14
|
作者：
Hu, Xiaoling [1 ]
Liu, Guirong
Yan, Jurang
机构：
[1] Shanxi Univ, Coll Engn, Taiyuan 030013, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 10-11期
关键词：
predator-prey model; positive periodic solution; coincidence degree; delay; monotonic; nonmonotonic;
D O I：
10.1016/j.camwa.2006.08.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by applying the continuation theorem of coincidence degree theory, we establish some new criteria for the existence of multiple positive periodic solutions for the delayed predator-prey model x'(t) = x(t) (r(t) - a(t)x(t)) - b(t)f (x(t)) y(t), y'(t) = y(t) (c(t)f (x(t - tau)) - d(t)), when functional response function f is monotonic or nonmonotonic. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：1453 / 1462
页数：10
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