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A Sufficient Condition for Extinction and Stability of a Stochastic SIS Model With Random Perturbation

20228 citationsOpen accessAbdelmalek Essaâdi University

Abstract

The system dynamics of the randomly perturbed SIS depend on a certain threshold RS. If RS < 1, the disease is removed from our community, whereas an epidemic will occur if RS > 1. However, what happens when RS = 1? In this paper, we give a solution to this problem. Furthermore, we make some improvements to the free disease equilibrium state E0 when RS < 1. Last, we give some computational simulations to explain our results.

Research topics

  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Evolution and Genetic Dynamics
  • COVID-19 epidemiological studies

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DOI: 10.37394/23202.2022.21.40

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