具有时滞的“食物有限”种群模型的全局吸引和振动

数学物理学报 ›› 2005, Vol. 25 ›› Issue (2): 158-165.

具有时滞的“食物有限”种群模型的全局吸引和振动

霍海峰

兰州理工大学应用数学系

出版日期:2005-04-25 发布日期:2005-04-25
基金资助:
教育部骨干教师基金、教育部高等学校教学科研奖励计划资助

Global Attractivity and Oscillation in a Periodic“Food Limited&rdquo|Population Model with Delay

HE Hai-Feng

Online:2005-04-25 Published:2005-04-25
Supported by:
教育部骨干教师基金、教育部高等学校教学科研奖励计划资助

摘要/Abstract

摘要：

该文研究了非线性时滞微分方程N′(t)=r(t)N(t)((K(t)-N(t-mω)K(t)+λ(t)N(t-mω))) ,其中m是正整数, λ(t), K(t) 及r(t) 是周期为ω的正周期函数，得到了方程正周期解振动、存在和全局吸引的充分条件，一些已知的结果被改进和推广.

关键词: 非线性时滞方程, 全局吸引, 振动, 种群模型

Abstract:

The nonlinear delay differential equation N′(t)=r(t)N(t)[((K(t)-N(t-mω)K(t)+λ(t)N(t-mω)))] where m is positive integer, λ(t), K(t) and r(t) are positive
periodic functions of period ω. Sufficient conditions for the oscillation, existence and global attractivity of the positive periodic solution of this equation are obtained. Some known results are extended and improved.

Key words: Nonlinear delay equation,Global attractivity, Oscillation, Population model

中图分类号:

34K11

霍海峰. 具有时滞的“食物有限”种群模型的全局吸引和振动[J]. 数学物理学报, 2005, 25(2): 158-165.

HE Hai-Feng. Global Attractivity and Oscillation in a Periodic“Food Limited&rdquo|Population Model with Delay[J]. Acta mathematica scientia,Series A, 2005, 25(2): 158-165.

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