Analysis of a stochastic coronavirus (COVID-19) Lévy jump model with protective measures
| Autor: | Tomás Caraballo, Mohamed El Fatini, Mohamed El Khalifi, Anandaraman Rathinasamy |
|---|---|
| Přispěvatelé: | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales |
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Kunita’s inequality Stochastic differential equation extinction Stochastic process Applied Mathematics Warranty Shot noise COVID-19 L´evy noise White noise Permission Measure (mathematics) persistence in mean Econometrics Statistics Probability and Uncertainty Epidemic model Mathematics |
| Zdroj: | Stochastic Analysis and Applications. 41:45-59 |
| ISSN: | 1532-9356 0736-2994 |
| Popis: | This paper studied a stochastic epidemic model of the spread of the novel coronavirus (COVID-19). Severe factors impacting the disease transmission are presented by white noise and compensated Poisson noise with possibly infinite characteristic measure. Large time estimates are established based on Kunita’s inequality rather than Burkholder-Davis-Gundy inequality for continuous diffusions. The effect of stochasticity is taken into account in the formulation of sufficient conditions for the extinction of COVID-19 and its persistence. Our results prove that environmental fluctuations can be privileged in controlling the pandemic behavior. Based on real parameter values, numerical results are presented to illustrate obtained results concerning the extinction and the persistence in mean of the disease. [ABSTRACT FROM AUTHOR] Copyright of Stochastic Analysis & Applications is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Databáze: | OpenAIRE |
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