TB Research

The Dynamics of a Stochastic SEITRmodel for Tuberculosis with Incomplete Treatment

Xiaodong Wang, Chunxia Wang, Kang‐Jia Wang

Research Square · 2021-01

Abstract

Abstract In this paper, a stochastic SEITR model is formulated to describe the transmission dynamics of tuberculosis with incompletely treated. Sufficient conditions for the existence of a stationary distribution and extinction are obtained. In addition, numerical simulations are given to illustrate these analytical results. Theoretical and numerical results show that large environmental perturbations can inhibit the spread of tuberculosis.

MeSH terms

  • Extinction (optical mineralogy)
  • Tuberculosis
  • Stationary distribution
  • Transmission (telecommunications)
  • Statistical physics
  • Dynamics (music)
  • Distribution (mathematics)
  • Stochastic modelling
  • Applied mathematics
  • Stochastic dynamics
  • Mathematics
  • Computer science