Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate

Amine EL Koufi, Mouhcine Naim, Abdelkrim Bennar, Noura Yousfi

Abstract


The purpose of this work is to investigate the almost surely exponentially stable of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate. We establish the global existence and positivity of solution. Furthermore, the stability of the disease-free equilibrium of the model are showed. The analytical results are illustrated by computer simulations.

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Published: 2018-06-13

How to Cite this Article:

Amine EL Koufi, Mouhcine Naim, Abdelkrim Bennar, Noura Yousfi, Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate, Communications in Mathematical Biology and Neuroscience, Vol 2018 (2018), Article ID 13

Copyright © 2018 Amine EL Koufi, Mouhcine Naim, Abdelkrim Bennar, Noura Yousfi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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