A delayed SIR epidemic model with a general incidence rate
نویسندگان
چکیده
منابع مشابه
A Delayed Sir Epidemic Model with General Incidence Rate
A delayed SIR epidemic model with a generalized incidence rate is studied. The time delay represents the incubation period. The threshold parameter, R0(τ) is obtained which determines whether the disease is extinct or not. Throughout the paper, we mainly use the technique of Lyapunov functional to establish the global stability of both the disease-free and endemic equilibrium.
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An SIR epidemic model with incubation time and saturated incidence rate is formulated, where the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the susceptible. The threshold value R0 determining whether the disease dies out is found. The results obtained show that the global dynamics are completely determined by the values of the thre...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2013
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2013.1.3