AI Article Synopsis
- The study explores an SIR model with age groups to analyze how infectious diseases spread in populations of different ages.
- A critical value, the basic reproduction number R, determines whether the disease will die out (R≤1, stable disease-free state) or persist (R>1, unstable disease-free state).
- The model evaluates measles data in India, assessing the impact of various vaccination strategies on controlling measles outbreaks.
Article 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 R and show that it is a sharp threshold parameter. If R≤1, the disease-free equilibrium E is globally stable. If R>1,E is unstable, the model is uniformly persistent, and an endemic equilibrium exists. The global stability of the endemic equilibrium when R>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.
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| http://dx.doi.org/10.1016/j.mbs.2018.12.003 | DOI Listing |
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