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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2201.03406 |
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| _version_ | 1866910354151309312 |
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| author | Easlick, Terry Sun, Wei |
| author_facet | Easlick, Terry Sun, Wei |
| contents | We propose a unified stochastic SIR model driven by Lévy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography and environmental disturbances. We present concise results on the existence and uniqueness of positive global solutions and investigate the extinction and persistence of the novel model. Examples and simulations are provided to illustrate the main results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_03406 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Unified Stochastic SIR Model Driven By Lévy Noise With Time-Dependency Easlick, Terry Sun, Wei Probability 60H10, 92D30, 93E15 We propose a unified stochastic SIR model driven by Lévy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography and environmental disturbances. We present concise results on the existence and uniqueness of positive global solutions and investigate the extinction and persistence of the novel model. Examples and simulations are provided to illustrate the main results. |
| title | A Unified Stochastic SIR Model Driven By Lévy Noise With Time-Dependency |
| topic | Probability 60H10, 92D30, 93E15 |
| url | https://arxiv.org/abs/2201.03406 |