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Author Country (or Countries)

Morocco

Abstract

The present paper investigates the dynamical behaviors of a stochastic SIRS epidemic model with telegraphic noise and Le ́vy noise. First, we establish the existence of a unique global positive solution for stochastic model. Furthermore, by constructing some suitable Lyapunov functions, we show that if R0 ≤ 1 and under some conditions on the parameters, then the solution of stochastic system fluctuates around the disease-free equilibrium, and if R0 > 1 the solution of stochastic system fluctuates around the disease- endemic equilibrium of the deterministic model. Finally, we present numerical simulations to support the theoretical results

Suggested Reviewers

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Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150204

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