Age-structured Continuous-Time Markov Chain Tuberculosis Model

Autori

  • Adesupo Akinrefon Department of Statistics, Modibbo Adama University, Yola, Adamawa State, Nigeria Autore
  • Salihu H. Danjuma Department of Statistics, Federal University of Kashere, Gombe State, Nigeria Autore
  • Yami A. Modu Department of Operations Research, Modibbo Adama University, Yola, Nigeria Autore
  • Reuben B. Zangaluka Department of Statistics, Modibbo Adama University, Yola, Adamawa State, Nigeria Autore

DOI:

https://doi.org/10.62054/ijdm/0302.27

Abstract

Tuberculosis (TB) records an average of 4500 mortality cases daily and ins listed amongst the worlds infectious killer- diseases. this Study develops and analyzed a stochastic age-structured model for tuberculosis (TB) transmission incorporating exogenous reinfection and heterogeneous mixing between children and adults. The model is formulated as a continuous time Markov Chain (CTMC) with six epidemiological compartments. We derive the kolmogorov forward equation and prove the equivalence between the stochastic mean dynamics of the system. Numerical simulations illustrate the impact of treatment and recovery parameters on disease dynamics.

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Pubblicato

2026-07-19

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Come citare

Age-structured Continuous-Time Markov Chain Tuberculosis Model. (2026). International Journal of Development Mathematics (IJDM), 3(2), 428-442. https://doi.org/10.62054/ijdm/0302.27