Stability on coupling SIR epidemic model with vaccination
نویسندگان
چکیده
منابع مشابه
Stability on Coupling Sir Epidemic Model with Vaccination
We develop a mathematical model for the disease which can be transmitted via vector and through blood transfusion in host population. The host population is structured by the chronological age. We assume that the instantaneous death and infection rates depend on the age. Applying semigroup theory and so forth, we investigate the existence of equilibria. We also discuss local stability of steady...
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This paper focuses on the study of a nonlinear mathematical SIR epidemic model with a vaccination program. We have discussed the existence and the stability of both the disease free and endemic equilibrium. Vaccine induced reproduction number is determined and the impact of vaccination in reducing the vaccine induced reproduction number is discussed. Then to achieve control of the disease, a co...
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An SIR epidemic model with saturated incidence rate and a vaccination program is formulated, where the susceptibles are assumed to satisfy the logistic equation. The incidence term is of saturated form with the infected individuals. First, we have discussed the existence and the stability of both the disease free and endemic equilibrium. Second, the impact of vaccination in reducing R(u) is tac...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2005
ISSN: 1110-757X,1687-0042
DOI: 10.1155/jam.2005.301