Articles

GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS

  • Zhen Jin ,
  • Ma Zhien ,
  • Han Maoan
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  • Department of Mathematics, North University of China, Taiyuan 030051, China

Received date: 2003-10-18

  Revised date: 2004-11-30

  Online published: 2006-04-20

Abstract

In this article, an SIRS epidemic model spread by vectors (mosquitoes) which have an incubation time to become infectious is formulated. It is shown that a disease-free equilibrium point is globally stable if no endemic equilibrium point exists. Further, the endemic equilibrium point (if it exists) is globally stable
with a respect ``weak delay". Some known results are generalized.

Cite this article

Zhen Jin , Ma Zhien , Han Maoan . GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS[J]. Acta mathematica scientia, Series B, 2006 , 26(2) : 291 -306 . DOI: 10.1016/S0252-9602(06)60051-9

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