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Logistic Growth and Relapse in the Stochastic Dynamics of SIRI Epidemics |
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PP: 739-750 |
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doi:10.18576/amis/190401
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Author(s) |
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Mouad Esseroukh,
Bilal Harchaoui,
Bilal El Khatib,
Khalid El Bakkioui,
Soulaimane Aznague,
Aadil Lahrouz,
Adel Settati,
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Abstract |
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| This paper develops a stochastic SIRI epidemic model that incorporates nonlinear relapse dynamics, logistic population growth, and a bilinear incidence rate. We begin by establishing the existence and uniqueness of a positive global solution, ensuring the model’s well-posedness. Subsequently, we derive sufficient conditions that determine whether the disease will persist in the population or eventually become extinct. These theoretical results are rigorously analyzed and validated through numerical simulations, which illustrate the interplay between key model parameters and epidemic outcomes. Our findings provide valuable insights into the complex dynamics of infectious diseases with relapse and population regulation.
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