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.