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Dynamics Behaviors of a Hybrid Switching Epidemic Model with Le ́vy Noise |
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PP: 131-142 |
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doi:10.18576/amis/150204
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Author(s) |
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Amine El Koufi,
Abdelkrim Bennar,
Noura Yousfi,
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Abstract |
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| 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 |
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