Lahrouz, A., Omari, L. and Kiouach, D. (2011) Global Analysis of a Deterministic and Stochastic Nonlinear SIRS Epidemic Model. Nonlinear Analysis: Modelling and Control, 16, 59-76.

has been cited by the following article:

• TITLE: Stability Analysis and Stochastic SI Modelling of Endemic Diseases

  AUTHORS: Desalegn Petros Kelkile

  KEYWORDS: Meta-Population, Basic Reproduction Ratio, Lyapunov Function, Positive Equilibrium

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.5, May 31, 2018

  ABSTRACT: In this paper, we study a stochastic epidemic model in Meta-population setting. The stochastic model is obtained from the deterministic model by set up random perturbations about the endemic equilibrium state. The outcome of random perturbations on the stability actions of endemic equilibrium is discussed. Stability of the two equilibriums is studied using the Lyapunov function.