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Exploring the Impact of Jump Perturbations on Stochastic SIRS Dynamics |
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PP: 671-681 |
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doi:10.18576/amis/190315
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Author(s) |
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K. El Bakkioui,
Y. El Khalfi,
S. Boutouil,
B. Harchaoui,
M. El Idrissi,
A. Settati,
A. Lahrouz,
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Abstract |
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| This study develops a comprehensive stochastic framework to examine the impact of Le ́vy perturbations on the dynamics of the SIRS (Susceptible-Infectious-Recovered-Susceptible) model. Initially, we established the existence and uniqueness of the solution, ensuring a solid foundation for our analysis. We identified the critical conditions for disease persistence, which are essential for evaluating the applicability of the model in real-world scenarios. Additionally, we determined the criteria for disease extinction. To support our theoretical findings, we conducted extensive computer simulations.
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