周期性果蝇模型解的整体稳定性

数学物理学报 ›› 2013, Vol. 33 ›› Issue (6): 1013-1021.

周期性果蝇模型解的整体稳定性

叶辉|蔡东汉

武汉大学数学与统计学院武汉 430072

收稿日期:2012-10-08 修回日期:2013-08-06 出版日期:2013-12-25 发布日期:2013-12-25
基金资助:
国家自然科学基金(71271158)资助

Global Attractivity in a Periodic Nicholson's Blowflies Model

YE Hui, CAI Dong-Han

School of Mathematics and Statistics, Wuhan University, Wuhan 430072

Received:2012-10-08 Revised:2013-08-06 Online:2013-12-25 Published:2013-12-25
Supported by:
国家自然科学基金(71271158)资助

摘要/Abstract

摘要：

研究了系数和时滞项为周期函数的果蝇模型, 得到了周期解整体稳定的两个充分条件. 同时, 得到了蜕化情况下周期解整体稳定的一个充分条件.

关键词: 果蝇模型, 时滞微分方程, 整体稳定, 正周期解

Abstract:

This paper is concerned with a class of generalized Nicholson's blowflies model of which coefficients and delays are periodic functions. Two sufficient global stability conditions for this model are given. In the degenerate case, i.e, the coefficients and delays are all constants, a sufficient global stability condition for the positive equilibrium is also obtained.

Key words: Nicholsons blowflies model, Delay differential equation, Global stability, Positive periodic solution

中图分类号:

39B22

叶辉, 蔡东汉. 周期性果蝇模型解的整体稳定性[J]. 数学物理学报, 2013, 33(6): 1013-1021.

YE Hui, CAI Dong-Han. Global Attractivity in a Periodic Nicholson's Blowflies Model[J]. Acta mathematica scientia,Series A, 2013, 33(6): 1013-1021.

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