数学物理学报 ›› 1997, Vol. 17 ›› Issue (S1): 175-183.

• 论文 • 上一篇    下一篇

GLOBAL ATTRACTIVITY FOR A MULTIPLICATIVE DELAY DIFFERENTIAL POPULATION MODEL

侯振挺1, 罗交晚1, 庾建设2   

  1. 1. Research Department, Changsha Railway University, Changsha 410075, China;
    2. Department of Applied Mathematics, Hunan University, Changsha 410082, China
  • 收稿日期:1996-01-22 出版日期:1997-12-26 发布日期:1997-12-26

GLOBAL ATTRACTIVITY FOR A MULTIPLICATIVE DELAY DIFFERENTIAL POPULATION MODEL

Hou Zhenting1, Luo Jiaowan1, Yu Jianshe2   

  1. 1. Research Department, Changsha Railway University, Changsha 410075, China;
    2. Department of Applied Mathematics, Hunan University, Changsha 410082, China
  • Received:1996-01-22 Online:1997-12-26 Published:1997-12-26

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摘要：

Sufficient conditions are presented for the asymptotic behavior of all positive solutions of the multiplicative delay Logistic equation
((dN(t))/dt)=r(t)N(t)(1-Πj=1m(N(gj(t))/K))
about the positive equilibrium K. The case when r(t)=r and gj(t)=t-τj or gj(t)=[t-kj],[·] denoting the greatest integer function,where r, τj and kj are positive constants, j=1, 2,… m, ale also included.

关键词: Global attractivity, multiplicative delay, Logistic equation

Abstract:

Sufficient conditions are presented for the asymptotic behavior of all positive solutions of the multiplicative delay Logistic equation
((dN(t))/dt)=r(t)N(t)(1-Πj=1m(N(gj(t))/K))
about the positive equilibrium K. The case when r(t)=r and gj(t)=t-τj or gj(t)=[t-kj],[·] denoting the greatest integer function,where r, τj and kj are positive constants, j=1, 2,… m, ale also included.

Key words: Global attractivity, multiplicative delay, Logistic equation

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