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《Journal of University of Shanghai for Science and Technology》 2010-04
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SIRS epidemical model of continuous vaccination with saturating infect rate and vertical infection

XU Jin-rui,WANG Mei-juan,ZHANG Yong-jun (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)  
An SIRS(susceptible infectives removed susceptible) epidemic model with saturating infect rate and vertical infection was studied.In the model it is assumed that the susceptibles,the recovered and the non-infected newborn,whose mother has been infected,are vaccinated.The sufficient conditions of local and global asymptotic stabilities of the equilibrium were obtained.The conclusion was verified by numerical imitation.
【CateGory Index】: O175
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