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Analysis on stability of an autonomous dynamics system for sars epidemic

Abstract

An extended dynamic model for SARS epidemic was deduced on the basis of the K-M infection model with taking the density constraint of susceptible population and the cure and death rates of patients into consideration. It is shown that the infection-free equilibrium is the global asymptotic stability under given conditions, and endemic equilibrium is not the asymptotic stability. It comes to the conclusion that the epidemic system is the permanent persistence existence under appropriate conditions.

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Correspondence to Zhang Shuang-de.

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Project supported by the Science Foundation of Chinese People's Armed Police (No. WKH2004-7)

Communicated by LI Ji-bin

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Shuang-de, Z., Hai, H. Analysis on stability of an autonomous dynamics system for sars epidemic. Appl Math Mech 26, 914–920 (2005). https://doi.org/10.1007/BF02464241

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  • DOI: https://doi.org/10.1007/BF02464241

Key words

  • infection model
  • SARS epidemic
  • equilibrium point
  • asymptotic stability

Chinese Library Classification

  • O175.13

2000 Mathematics Subject Classification

  • 39A11