Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds | Zendy

C. Connell McCluskey | Zendy

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Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds

Author(s) -

C. Connell McCluskey

Publication year - 2015

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2015008

Subject(s) - age structure , immigration , epidemic model , infectious disease (medical specialty) , stability (learning theory) , lyapunov function , tuberculosis , disease , econometrics , demography , medicine , mathematics , computer science , geography , sociology , physics , population , archaeology , pathology , nonlinear system , quantum mechanics , machine learning

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.

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