Renewal contact process with dormancy
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917946125713408 |
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| author | Kurt, Noemi Reitmeier, Michel Tóbiás, András |
| author_facet | Kurt, Noemi Reitmeier, Michel Tóbiás, András |
| contents | We consider the contact process with dormancy, where wake-up times follow a renewal process. Without infection between dormant individuals, we show that the process under certain conditions grows at most logarithmically. On the other hand, if infections between dormant individuals are possible, the process survives with positive probability even on finite graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20863 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Renewal contact process with dormancy Kurt, Noemi Reitmeier, Michel Tóbiás, András Probability Primary 60K06, 60K35, secondary 82B43, 92D15 We consider the contact process with dormancy, where wake-up times follow a renewal process. Without infection between dormant individuals, we show that the process under certain conditions grows at most logarithmically. On the other hand, if infections between dormant individuals are possible, the process survives with positive probability even on finite graphs. |
| title | Renewal contact process with dormancy |
| topic | Probability Primary 60K06, 60K35, secondary 82B43, 92D15 |
| url | https://arxiv.org/abs/2410.20863 |