TB Research

Effect of the awareness parameter on a fractional-order tuberculosis model

Mehmet Yavuz, Müzeyyen Akman, Fuat Usta, Necati Özdemir

AIP conference proceedings · 2022-01

Abstract

Tuberculosis (TB) is an infectious disease with a high death rate compared to many infectious diseases. Therefore, many prominent studies have been done on the mathematical modeling and analysis of TB. In this study, an illustrative mathematical model is developed by considering the awareness parameter. In this context, two different treatment strategies that is applied as protective treatment and main treatment that is considered on the infected individuals are taken into account. In the provided model, a six-dimensional compartment system of fractional-order is constructed that includes the susceptible, latent, infected, and recovered population, as well as including the mentioned two treatment strategies. Also positivity and biologically feasible region of the model are provided. In the numerical simulations, Adams–Bashforth which is a well-known numerical scheme is applied to obtain the results.

MeSH terms

  • Tuberculosis
  • Context (archaeology)
  • Infectious disease (medical specialty)
  • Epidemic model
  • Population
  • Applied mathematics
  • Numerical models
  • Computer science
  • Mathematical model
  • Disease
  • Mathematics
  • Mathematical optimization