Kurt, Noemi and Reitmeier, Michel and Tóbiás, András József (2025) Renewal contact process with dormancy. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 30. No.-43. ISSN 1083-589X
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Official URL: https://doi.org/10.1214/25-ECP689
Abstract
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.
| Item Type: | Article |
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| Additional Information: | This paper was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences. Project no. STARTING 149835 has been implemented with the support provided by the Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation Fund, financed under the STARTING_24 funding scheme. |
| Uncontrolled Keywords: | contact process; PERCOLATION; dormancy; Renewal process; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 18 Aug 2025 14:47 |
| Last Modified: | 18 Aug 2025 14:47 |
| URI: | https://real.mtak.hu/id/eprint/222429 |
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