Insights on Stochastic Dynamics for Transmission of Monkeypox: Biological and Probabilistic Behaviour
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911948273090560 |
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| author | Rahman, Ghaus ur Tymoshenko, Olena Di Nunno, Giulia |
| author_facet | Rahman, Ghaus ur Tymoshenko, Olena Di Nunno, Giulia |
| contents | The transmission of monkeypox is studied using a stochastic model taking into account the biological aspects, the contact mechanisms and the demographic factors together with the intrinsic uncertainties. Our results provide insight into the interaction between stochasticity and biological elements in the dynamics of monkeypox transmission. The rigorous mathematical analysis determines threshold parameters for disease persistence. For the proposed model, the existence of a unique global almost sure non-negative solution is proven. Conditions leading to disease extinction are established. Asymptotic properties of the model are investigated such as the speed of transmission. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05486 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Insights on Stochastic Dynamics for Transmission of Monkeypox: Biological and Probabilistic Behaviour Rahman, Ghaus ur Tymoshenko, Olena Di Nunno, Giulia Dynamical Systems The transmission of monkeypox is studied using a stochastic model taking into account the biological aspects, the contact mechanisms and the demographic factors together with the intrinsic uncertainties. Our results provide insight into the interaction between stochasticity and biological elements in the dynamics of monkeypox transmission. The rigorous mathematical analysis determines threshold parameters for disease persistence. For the proposed model, the existence of a unique global almost sure non-negative solution is proven. Conditions leading to disease extinction are established. Asymptotic properties of the model are investigated such as the speed of transmission. |
| title | Insights on Stochastic Dynamics for Transmission of Monkeypox: Biological and Probabilistic Behaviour |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2407.05486 |