Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914136939560960 |
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| author | Khammich, Lahcen Kiouach, Driss |
| author_facet | Khammich, Lahcen Kiouach, Driss |
| contents | In this paper, we present a stochastic SVEIS epidemic model perturbed by a Black-Karasinski process. Using a Lyapunov functional approach, we derive a sufficient condition, Rs0>1 for the existence of a stationary distribution, which indicates disease persistence. Additionally, we theoretically demonstrate that the disease will die out at an exponential rate if Re0<1 . Our results show that random fluctuations will facilitate disease outbreak. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02882 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process Khammich, Lahcen Kiouach, Driss Probability Populations and Evolution In this paper, we present a stochastic SVEIS epidemic model perturbed by a Black-Karasinski process. Using a Lyapunov functional approach, we derive a sufficient condition, Rs0>1 for the existence of a stationary distribution, which indicates disease persistence. Additionally, we theoretically demonstrate that the disease will die out at an exponential rate if Re0<1 . Our results show that random fluctuations will facilitate disease outbreak. |
| title | Asymptotic analysis of a stochastic SVEIS epidemic model using Black-Karasinski process |
| topic | Probability Populations and Evolution |
| url | https://arxiv.org/abs/2511.02882 |