WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 21, 2022
A Sufficient Condition for Extinction and Stability of a Stochastic SIS Model With Random Perturbation
Authors: , , , , ,
Abstract: The system dynamics of the randomly perturbed SIS depend on a certain threshold $$R_{S}$$. If $$R_{S} < 1$$, the disease is removed from our community, whereas an epidemic will occur if $$R_{S} > 1$$. However, what happens when $$R_{S} = 1$$? In this paper, we give a solution to this problem. Furthermore, we make some improvements to the free disease equilibrium state E0 when $$R_{S} < 1$$. Last, we give some computational simulations to explain our results.