A SIR model incorporating treatment and agestructured of recovered period is investigated. It is assumed that infective ones recover from the disease with temporary immunity. Here the rate at which recovered individual move to susceptible class again, depends upon vaccine age and hence it is assumed to be a variable. By using the existence of root and characteristic values analysis, we show that 0 ℜ determines whether the disease will become endemic or die out. From a biological point of view, our results ind…
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