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A DELAYED SIR EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE AND PULSE VACCINATION  

Du, Yanke (Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College)
Xu, Rui (Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1089-1099 More about this Journal
Abstract
An SIR epidemic model with pulse vaccination and time delay describing infection period is investigated. The global attractiveness of the infection-free periodic solution is discussed, and sufficient condition is obtained for the permanence of the system. Our results indicate that a large vaccination rate or a short period of pulsing leads to the eradication of the disease.
Keywords
SIR epidemic model; Delay; Pulse vaccination; Global attractiveness; Permanence;
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