Analysis and simulation of random walks and exclusion processes over graphs
Stochastic models for the spreading of rumours and epidemics
Branching Random Walks and Interacting particle System in Random Environment.
| Grant number: | 18/16184-7 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | December 01, 2018 |
| Effective date (End): | November 30, 2019 |
| Field of knowledge: | Physical Sciences and Mathematics - Probability and Statistics - Probability |
| Principal Investigator: | Fabio Prates Machado |
| Grantee: | Vitor Hugo Vieira de Lima |
| Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 17/10555-0 - Stochastic modeling of interacting systems, AP.TEM |
Abstract We intend to continue the research on the particle systems on graphs known as frog model, which was formulated to model the propagation of information or epidemics in a network. In the study of these systems on finite graphs, the main interest is the duration of the process and the proportion of the population informed or infected by the disease after all viruses die. We are interested in working (in a rigorously and through simulations) with versions of the model in a series of graphs (finite, such as bipartite graphs, hypercube or complete graphs or infinite such as $\bbZ^d$) in which the lifetimes of the active particles (spreaders or virus) may not be Markovian. | |
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