Global stability for an \(SEI\) model of infectious disease with age structure and immigration of infecteds. (English) Zbl 1329.35323
Summary: We study a model of disease transmission with continuous age-structure for latently infected individuals and for infectious individuals and with immigration of new individuals into the susceptible, latent and infectious classes. The model is very appropriate for tuberculosis. A Lyapunov functional is used to show that the unique endemic equilibrium is globally stable for all parameter values.
Keywords:
global stability; Lyapunov functional; age-structure; epidemiology; immigration; tuberculosisReferences:
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