Abstract：
:We investigate an SIR epidemic model with discrete age groups to understand the transmission dynamics of an infectious disease in a host population with an age structure. We derive the basic reproduction number R0 and show that it is a sharp threshold parameter. If R0≤1, the disease-free equilibrium E0 is globally stable. If R0>1,E0 is unstable, the model is uniformly persistent, and an endemic equilibrium exists. The global stability of the endemic equilibrium when R0>1 is established under a sufficient condition. The model is then used to analyze the measles data in India and evaluate the effectiveness of several vaccination strategies for the control of measles epidemics in India.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Zhou L,Wang Y,Xiao Y,Li MYdoi
10.1016/j.mbs.2018.12.003subject
Has Abstractpub_date
2019-02-01 00:00:00pages
27-37eissn
0025-5564issn
1879-3134pii
S0025-5564(18)30201-3journal_volume
308pub_type
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