Novel method to analytically obtain the asymptotic stable equilibria states of extended sir-type epidemiological models

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We present a new analytical method to find the asymptotic stable equilibria states based on the Markov chain technique. We reveal this method on the Susceptible-Infectious-Recovered (SIR)-type epidemiological model that we developed for viral diseases with long-term immunity memory. This is a large-scale model containing 15 nonlinear ordinary differential equations (ODEs), and classical methods have failed to analytically obtain its equilibria. The proposed method is used to conduct a comprehensive analysis by a stochastic representation of the dynamics of the model, followed by finding all asymptotic stable equilibrium states of the model for any values of parameters and initial conditions thanks to the symmetry of the population size over time.

Original languageEnglish
Article number1120
JournalSymmetry
Volume13
Issue number7
DOIs
StatePublished - Jul 2021

Keywords

  • Asymptotic stable equilibria state
  • Markov chain
  • Random variable transformation technique
  • Three age group SIIRD model

Fingerprint

Dive into the research topics of 'Novel method to analytically obtain the asymptotic stable equilibria states of extended sir-type epidemiological models'. Together they form a unique fingerprint.

Cite this