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Mathematical Biosciences and Engineering

2016, Volume 13, Issue 2: 381-400. doi: 10.3934/mbe.2015008
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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
  • Received: 01 May 2015 Accepted: 29 June 2018 Published: 25 December 2015

  • MSC : Primary: 34K20, 92D30.

  • 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.

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

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  • 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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  • © 2016 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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