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Qualitative Analysis of a SIR Epidemic Model with a Nonlinear Relapse and Incidence Rate Stochastically Perturbed |
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PP: 999-1007 |
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doi:10.18576/amis/130613
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Author(s) |
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Abdelaziz Assadouq,
Adel Settati,
Ali El Myr,
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Abstract |
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| In this paper, we analyze a stochastic SIR epidemic model in a constant population with a relapse and nonlinear perturbation. First, we illustrate show that the system has a unique global positive solution that belongs to a positively invariant set. Then, we obtain sufficient conditions for the extinction and persistence in the mean. Finally, numerical simulations are carried out to illustrate the theoretical results.
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