The Stability of MSIR Epidemic Model with Natural Age and Infection-Age
Assuming total population remains constant,this paper establishes a class of MSIR epidemic models with both natural age and infection-age and studies the stability of the equilibrium solutions of this model.Firstly,by normalizing the model and linearizing it at the disease-free equilibrium,demonstrating that when R1＜1,the disease-free equilibrium is locally asymptotically stable.Subsequently,employing the method of characteristics for hyperbolic systems and Fatou's lemma,it is proven that when R1＜1,the disease-free equilibrium is globally asymptotically stable.Finally,the existence of a unique endemic equilibrium solution is established using the intermediate value theorem when R1＞1.
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