Periodic solutions for a discrete time predator-prey system with monotone functional responses

被引：28

作者：

Fazly, Mostafa ^{[1
]}

Hesaaraki, Mahmoud ^{[1
]}

机构：

[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

来源：

COMPTES RENDUS MATHEMATIQUE | 2007年 / 345卷 / 04期

关键词：

D O I：

10.1016/j.crma.2007.06.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this Note, sharp sufficient conditions for the existence of periodic solutions of a nonautonomous discrete time semi-ratiodependent predator-prey system with functional responses are derived. In our results this system with any monotone functional response bounded by polynomials in R+, always has at least one omega-periodic solution. In particular, this system with the most popular functional responses Michael is-Menten, Holling type-II and III, sigmoidal, Ivlev and some other monotone response functions, always has at least one omega-periodic solution.

引用

页码：199 / 202

页数：4

共 6 条

[1] Existence of periodic solutions in predator-prey and competition dynamic systems [J].