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

1. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario

We study a model of disease transmission with continuous age-structure for latentlyinfected individuals and for infectious individuals and with immigration of new individualsinto 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 stablefor all parameter values.
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Keywords Lyapunov functional; tuberculosis.; immigration; epidemiology; age-structure; Global stability

Citation: C. Connell McCluskey. Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds. Mathematical Biosciences and Engineering, 2016, 13(2): 381-400. doi: 10.3934/mbe.2015008

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This article has been cited by

  • 1. Reem M. Almarashi, C. Connell McCluskey, The effect of immigration of infectives on disease-free equilibria, Journal of Mathematical Biology, 2019, 10.1007/s00285-019-01387-8

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Copyright Info: 2016, C. Connell McCluskey, licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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