Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate
We expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one. The existence of a positive global analytical solution of the proposed stochastic model is shown, and conditions for the extinction and persistence of the disease are establish...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2019/9275051 |
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| _version_ | 1850229812116848640 |
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| author | Amine El Koufi Jihad Adnani Abdelkrim Bennar Noura Yousfi |
| author_facet | Amine El Koufi Jihad Adnani Abdelkrim Bennar Noura Yousfi |
| author_sort | Amine El Koufi |
| collection | DOAJ |
| description | We expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one. The existence of a positive global analytical solution of the proposed stochastic model is shown, and conditions for the extinction and persistence of the disease are established. The presented results are demonstrated by numerical simulations. |
| format | Article |
| id | doaj-art-2196b5fd7e9f44799afc61dba0e6d04c |
| institution | OA Journals |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-2196b5fd7e9f44799afc61dba0e6d04c2025-08-20T02:04:05ZengWileyInternational Journal of Differential Equations1687-96431687-96512019-01-01201910.1155/2019/92750519275051Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence RateAmine El Koufi0Jihad Adnani1Abdelkrim Bennar2Noura Yousfi3Laboratory of Analysis Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation (LAMS), Faculty of Sciences Ben M’sik, Hassan II University, P.O. Box 7955, Sidi Othman, Casablanca, MoroccoWe expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one. The existence of a positive global analytical solution of the proposed stochastic model is shown, and conditions for the extinction and persistence of the disease are established. The presented results are demonstrated by numerical simulations.http://dx.doi.org/10.1155/2019/9275051 |
| spellingShingle | Amine El Koufi Jihad Adnani Abdelkrim Bennar Noura Yousfi Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate International Journal of Differential Equations |
| title | Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate |
| title_full | Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate |
| title_fullStr | Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate |
| title_full_unstemmed | Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate |
| title_short | Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate |
| title_sort | analysis of a stochastic sir model with vaccination and nonlinear incidence rate |
| url | http://dx.doi.org/10.1155/2019/9275051 |
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