Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model.
The existence and uniqueness of positive steady states for the age structured S-I-R epidemic model with intercohort transmission is considered. Threshold results for the existence of endemic states are established for most cases. Uniqueness is shown in each case. Threshold used are explicitly computable in terms of demographic and epidemiological parameters of the model.
Cha
Y
Y
Department of Mathematics, Sejong University, Seoul, South Korea.
Iannelli
M
M
Milner
F A
FA
D000367:Age Factors; D004196:Disease Outbreaks; D004198:Disease Susceptibility; D019353:Endemic Diseases; D006801:Humans; D008954:Models, Biological