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 rate of patients into consideration. It is shown that the infection-free equilibrium is global asymptotic stability for under given conditions, and endemic equilibrium is not asymptotic stability. It comes to the conclusion that the epidemic system is permanent persistence existence under appropriate conditions.
Riley S,Fraser C,Donnelly C A,et al.Transmission Dynamics of the Etiological Agent of SARS in Hong Kong: Impact of Public Health Interventions[J/OL]. Sciencexpress/www.sciencexpress.org/23 May 2003/ Page 1/10.1126/ science.1086478.
Lipsitch M,Cohen T,Cooper B,et al.Transmission Dynamics and Control of Severe Acute Respiratory Syndrome[J/OL]. Sciencexpress/www.sciencexpress.org/23 May 2003/ Page 1/10.1126/ science.1086616.