Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process
In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters. We establish sufficient conditions for the extinction and persistence of the disease in the population using some stochastic analysis backg...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/8093696 |
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| _version_ | 1832565293785808896 |
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| author | Amine El Koufi |
| author_facet | Amine El Koufi |
| author_sort | Amine El Koufi |
| collection | DOAJ |
| description | In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters. We establish sufficient conditions for the extinction and persistence of the disease in the population using some stochastic analysis background. We illustrate our theoretical results by numerical simulations. We conclude that the white noise and Lévy jump influence the transmission of the epidemic. |
| format | Article |
| id | doaj-art-394826b4acbc4e008e953248144eb8c1 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-394826b4acbc4e008e953248144eb8c12025-02-03T01:08:47ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8093696Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy ProcessAmine El Koufi0Laboratory of Analysis, Modeling and Simulation (LAMS)In this work, we study a stochastic SIS epidemic model with Lévy jumps and nonlinear incidence rates. Firstly, we present our proposed model and its parameters. We establish sufficient conditions for the extinction and persistence of the disease in the population using some stochastic analysis background. We illustrate our theoretical results by numerical simulations. We conclude that the white noise and Lévy jump influence the transmission of the epidemic.http://dx.doi.org/10.1155/2022/8093696 |
| spellingShingle | Amine El Koufi Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process Complexity |
| title | Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process |
| title_full | Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process |
| title_fullStr | Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process |
| title_full_unstemmed | Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process |
| title_short | Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process |
| title_sort | nonlinear stochastic sis epidemic model incorporating levy process |
| url | http://dx.doi.org/10.1155/2022/8093696 |
| work_keys_str_mv | AT amineelkoufi nonlinearstochasticsisepidemicmodelincorporatinglevyprocess |