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.

引用

页码：1453 / 1462

页数：10

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