Transmission Dynamics of Tuberculosis with Age-specific Disease Progression

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

3 Scopus Citations
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Detail(s)

Original languageEnglish
Article number73
Journal / PublicationBulletin of Mathematical Biology
Volume84
Issue number7
Online published15 Jun 2022
Publication statusPublished - Jul 2022

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Abstract

Demographic structure and latent phenomenon are two essential factors determining the rate of tuberculosis transmission. However, only a few mathematical models considered age structure coupling with disease stages of infectious individuals. This paper develops a system of delay partial differential equations to model tuberculosis transmission in a heterogeneous population. The system considers demographic structure coupling with the continuous development of disease stage, which is crucial for studying how aging affects tuberculosis dynamics and disease progression. Here, we determine the basic reproduction number, and several numerical simulations are used to investigate the influence of various progression rates on tuberculosis dynamics. Our results support that the aging effect on the disease progression rate contributes to tuberculosis permanence.

Research Area(s)

  • Multi-group tuberculosis system, Distributed delay, Basic reproduction number, Age-structured population model, GLOBAL STABILITY, NATURAL-HISTORY, MODEL, LATENCY, EPIDEMIOLOGY, REINFECTION, VACCINE, IMPACT, RISKS, TB

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