Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using stochastic tools, we prove the existence and uniqueness of global positive solution. Moreover, we also show the extinction and persistence in mean of the disease by the use of Kun...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/156124 |
| Acceso en línea: | https://hdl.handle.net/11441/156124 https://doi.org/10.1016/j.chaos.2024.114531 |
| Access Level: | acceso abierto |
| Palabra clave: | Epidemic model Infinite activity Relapse Extinction Persistence in mean Kunita’s inequality |
| Sumario: | The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using stochastic tools, we prove the existence and uniqueness of global positive solution. Moreover, we also show the extinction and persistence in mean of the disease by the use of Kunita’s inequality instead of Burkholder–Davis–Gundy inequality for continuous diffusions. The numerical behavior of the considered model is analyzed to understand the impact of environmental transmission on the spread of human and zonotic tuberculosis in Morocco. |
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