| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP - Brazil
[2] Fed Univ Pernambuco UFPE, Dept Stat, Ave Prof Luiz Freire S-N, BR-50740540 Recife, PE - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Physics; v. 60, n. 12 DEC 1 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
The frog model is a stochastic model for the spreading of an epidemic on a graph in which a dormant particle starts to perform a simple random walk on the graph and to awaken other particles once it becomes active. We study two versions of the frog model on the complete graph with N + 1 vertices. In the first version that we consider, active particles have geometrically distributed lifetimes. In the second version, the displacement of each awakened particle lasts until it hits a vertex already visited by the process. For each model, we prove that as N -> infinity, the trajectory of the process is well approximated by a three-dimensional discrete-time dynamical system. We also study the long-term behavior of the corresponding deterministic systems. (AU) | |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |