An SEIR model on time scales with discrete applications to tuberculosis

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

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 241, issue PA, 72-103

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.

Keywords: Mathematical modeling; Dynamical systems; Time scale; Tuberculosis (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:241:y:2026:i:pa:p:72-103

DOI: 10.1016/j.matcom.2025.08.004

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