Spatial SIR epidemic model with varying infectivity in an unbounded domain: Law of Large Numbers
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912712183775232 |
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| author | Kanga, Armand Pardoux, Etienne |
| author_facet | Kanga, Armand Pardoux, Etienne |
| contents | We consider a spatial SIR epidemic model where the infectivity of infected individuals depends upon their age of infection, and infections are non local. The domain is an unbounded subset of $\R^d$,and the individuals do not move. We extend our earlier result in \cite{AK-EP}, where the domain was bounded, and prove a law of large numbers as the size of the population tends to $\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12350 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spatial SIR epidemic model with varying infectivity in an unbounded domain: Law of Large Numbers Kanga, Armand Pardoux, Etienne Probability We consider a spatial SIR epidemic model where the infectivity of infected individuals depends upon their age of infection, and infections are non local. The domain is an unbounded subset of $\R^d$,and the individuals do not move. We extend our earlier result in \cite{AK-EP}, where the domain was bounded, and prove a law of large numbers as the size of the population tends to $\infty$. |
| title | Spatial SIR epidemic model with varying infectivity in an unbounded domain: Law of Large Numbers |
| topic | Probability |
| url | https://arxiv.org/abs/2511.12350 |