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Two-Patch Transmission of Tuberculosis

Author

Listed:
  • JEAN TEWA
  • SAMUEL BOWONG
  • BOULCHARD MEWOLI
  • JURGEN KURTHS

Abstract

For a two-patch transmission of tuberculosis (TB), the disease-free equilibrium and the basic reproduction rate R0 are computed. The disease-free equilibrium is globally asymptotically stable when the basic reproduction rate is less than one. The model can have one or more endemic equilibria. The increased progression rate from latent to active TB in one population may play a significant role in the rising prevalence of TB in the other population. The increased migration from the first to the second population increases the prevalence level of TB in the second population and decreases the TB prevalence in the first population.

Suggested Citation

  • Jean Tewa & Samuel Bowong & Boulchard Mewoli & Jurgen Kurths, 2011. "Two-Patch Transmission of Tuberculosis," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(3), pages 189-205.
    • Handle: RePEc:taf:mpopst:v:18:y:2011:i:3:p:189-205
    DOI: 10.1080/08898480.2011.596757
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    Cited by:

    1. Qiao, Meihong & Liu, Anping & Fory’s, Urszula, 2015. "The dynamics of a time delayed epidemic model on a population with birth pulse," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 166-174.

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