A stochastic differential equation approach for an SIS model with non-linear incidence rate
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914763754176512 |
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| author | Builes, J. S. Coletti, Cristian F. Valencia, Leon A. |
| author_facet | Builes, J. S. Coletti, Cristian F. Valencia, Leon A. |
| contents | In this paper, we study an analytically tractable SIS model with a non-linear incidence rate for the number of infectious individuals described through a stochastic differential equation (SDE). We guarantee the existence of a positive solution, and we study its regularity. We study the persistence and extinction regimes, and we give sufficient conditions under which the disease-free equilibrium point is an asymptotically stable equilibrium point with probability one. We provide sufficient conditions under which the model admits a unique stationary measure. Finally, we illustrate our findings using simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13469 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A stochastic differential equation approach for an SIS model with non-linear incidence rate Builes, J. S. Coletti, Cristian F. Valencia, Leon A. Probability In this paper, we study an analytically tractable SIS model with a non-linear incidence rate for the number of infectious individuals described through a stochastic differential equation (SDE). We guarantee the existence of a positive solution, and we study its regularity. We study the persistence and extinction regimes, and we give sufficient conditions under which the disease-free equilibrium point is an asymptotically stable equilibrium point with probability one. We provide sufficient conditions under which the model admits a unique stationary measure. Finally, we illustrate our findings using simulations. |
| title | A stochastic differential equation approach for an SIS model with non-linear incidence rate |
| topic | Probability |
| url | https://arxiv.org/abs/2404.13469 |