Global dynamics of SIR model with switched transmission rate

J Math Biol. 2020 Mar;80(4):1209-1233. doi: 10.1007/s00285-019-01460-2. Epub 2020 Jan 3.

Abstract

We propose a new epidemiological model, based on the classical SIR model, taking additionally into account a switching prevention strategy. The model has two distinct thresholds that determine the beginning and the end of an intervention and two different transmission rates. We study the global dynamics of the proposed two-dimensional model.

Keywords: Disease prevention; Endemic equilibrium; Public intervention; SIR model dynamics; Switching transmission rate.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Basic Reproduction Number / prevention & control
  • Basic Reproduction Number / statistics & numerical data
  • Communicable Disease Control / statistics & numerical data
  • Communicable Diseases / epidemiology*
  • Communicable Diseases / transmission*
  • Computational Biology
  • Computer Simulation
  • Epidemics / prevention & control
  • Epidemics / statistics & numerical data*
  • Humans
  • Linear Models
  • Mathematical Concepts
  • Models, Biological*
  • Systems Biology
  • Vaccination / statistics & numerical data