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An SEIR model on time scales with discrete applications to tuberculosis

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  • Akın, E.
  • Yeni, G.
  • Konur, D.
  • Işık, S.R.
  • Işık, M.R.

Abstract

In this paper, we propose a novel dynamical model on time scales consisting of new parameters to investigate the transmission dynamics of tuberculosis (TB) , one of the deadliest infectious diseases worldwide, characterized by a long latency stage. The dynamical TB model, governed by the Susceptible–Exposed–Infected–Recovered (SEIR) framework within a unified form, yields a continuous model with a non-saturated incidence rate on the real numbers and discrete models with saturated incidence rates when different time domains are chosen.

Suggested Citation

  • Akın, E. & Yeni, G. & Konur, D. & Işık, S.R. & Işık, M.R., 2026. "An SEIR model on time scales with discrete applications to tuberculosis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 241(PA), pages 72-103.
    • Handle: RePEc:eee:matcom:v:241:y:2026:i:pa:p:72-103
    DOI: 10.1016/j.matcom.2025.08.004
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