Extinction and persistence of a stochastic SIS epidemic model with vertical transmission, specific functional response and Levy jumps

Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir

Abstract


In this paper, we study the dynamics of a stochastic SIS epidemic model with vertical transmission and specific functional response. The environment variability in this work is characterized by Gaussian white noise and Levy jump noise. We establish the existence and uniqueness of a global positive solution starting from any positive initial value. We also investigate extinction and persistence in mean of the disease. Numerical examples are presented to illustrate the theoretical results.

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Published: 2019-06-03

How to Cite this Article:

Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir, Extinction and persistence of a stochastic SIS epidemic model with vertical transmission, specific functional response and Levy jumps, Commun. Math. Biol. Neurosci., 2019 (2019), Article ID 15

Copyright © 2019 Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir. 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.

Commun. Math. Biol. Neurosci.

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