Mourad El Idrissi, Bilal Harchaoui, Abdeladim Nait Brahim, Ibrahim Bouzalmat, Adel Settati, Aadil Lahrouz, "A Sufficient Condition for Extinction and Stability of a Stochastic SIS Model With Random Perturbation," WSEAS Transactions on Systems, vol. 21, pp. 367-371, 2022, DOI:10.37394/23202.2022.21.40
Mourad El Idrissi, Bilal Harchaoui, Abdeladim Nait Brahim, Ibrahim Bouzalmat, Adel Settati, Aadil Lahrouz. A Sufficient Condition for Extinction and Stability of a Stochastic SIS Model With Random Perturbation.
WSEAS Transactions on Systems. 2022;21:367-371. 10.37394/23202.2022.21.40
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.
Keywords:
Stochastic epidemic models, SIS models, Stability of disease, Extinction of disease, Threshold, Lyapunov function
Pages: 367-371 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 21, 2022, Art. #40 DOI: 10.37394/23202.2022.21.40
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