[1]王全义.关于捕食者-食饵系统正周期解存在性的一个反例[J].华侨大学学报(自然科学版),2007,28(1):111-112.[doi:10.3969/j.issn.1000-5013.2007.01.030]
　WANG Quan-yi.A Counterexample on the Existence of Positive Periodic Solutions for Two-Species Predator-Prey Diffusive Systems[J].Journal of Huaqiao University(Natural Science),2007,28(1):111-112.[doi:10.3969/j.issn.1000-5013.2007.01.030]
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关于捕食者-食饵系统正周期解存在性的一个反例()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第28卷
期数:
2007年第1期
页码:
111-112
栏目:
出版日期:
2007-01-20

文章信息/Info

Title:
A Counterexample on the Existence of Positive Periodic Solutions for Two-Species Predator-Prey Diffusive Systems
文章编号:
1000-5013(2007)01-0111-02
作者:
王全义
华侨大学数学系 福建泉州362021
Author(s):
WANG Quan-yi
Department of Mathematics, Huaqiao University, Quanzhou 362021, China
关键词:
捕食者-食饵扩散系统;  时滞;  功能反应;  正周期解;  存在性
Keywords:
time delay;  functional response;  predator-prey diffusive systems;  positive periodic solution;  existence
分类号:
O175
DOI:
10.3969/j.issn.1000-5013.2007.01.030
文献标志码:
A
摘要:
举出一个具有时滞和功能反应的两种群捕食者-食饵扩散系统的反例,并证明该系统不存在正的ω-周期解.这个反例说明了,2003年LI Bin-wen在《Ann.of Diff.Eqs.》上得出的结论是错误的.
Abstract:
In this paper,we give a counterexample on two-species predator-prey Diffusive systems with time delay and functional response and prove that the system does not exist positive-periodic solutions.This counterexample indicates that the result of the paper appeared in 《 Annals of Differential Equations 》(2003) is incorrect.

参考文献/References:

[1] 董士杰, 葛渭高. 一类滞后型非自治的捕食者-食饵系统的周期解 [J]. 系统科学与数学, 2003(4):461-464.doi:10.3969/j.issn.1000-0577.2003.04.004.
[2] 范猛, 王克. 一类具有 Holling Ⅱ型功能性反应的捕食者-食饵系统全局周期解的存在性 [J]. 数学物理学报, 2001(4):492-497.doi:10.3321/j.issn:1003-3998.2001.04.010.
[3] XU Rui, CHEN Lan-sun. Persistence and stability of two-species ratio-dependent predator-prey system with delay in a two-patch environment [J]. Computers and Mathematics with Applications, 2000, (4/5):577-588.doi:10.1016/S0898-1221(00)00181-4.
[4] 张正球, 王志成. 基于比率的三种群捕食者-食饵扩散系统的周期解 [J]. 数学学报, 2004(3):531-540.doi:10.3321/j.issn:0583-1431.2004.03.016.
[5] Li Bi-wen. Positive periodic solution for two-species predator-prey diffusion-delay models with functional response [J]. Annals of Differential Equations, 2003(2):146-153.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511026)
更新日期/Last Update: 2014-03-23