Spread of infections in a heterogeneous moving population
We consider a model where an infection moves through a collection of particles performing independent random walks. In this model, Kesten and Sidoravicius established linear growth of the infected region when infected and susceptible particles move at the same speed. In this paper we establish a lin...
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| Veröffentlicht in: | Probability theory and related fields 2023-10, Vol.187 (1-2), p.73-131 |
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| container_title | Probability theory and related fields |
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| creator | Dauvergne, Duncan Sly, Allan |
| description | We consider a model where an infection moves through a collection of particles performing independent random walks. In this model, Kesten and Sidoravicius established linear growth of the infected region when infected and susceptible particles move at the same speed. In this paper we establish a linear growth rate when infected and susceptible particles move at different speeds, answering an open problem from their work. Our proof combines an intricate coupling of Poisson processes with a streamlined version of a percolation model of Sidoravicius and Stauffer. |
| doi_str_mv | 10.1007/s00440-023-01216-6 |
| format | Article |
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| subjects | Economics Energy policy Finance Insurance Management Mathematical and Computational Biology Mathematical and Computational Physics Mathematics Mathematics and Statistics Operations Research/Decision Theory Percolation Probability Probability Theory and Stochastic Processes Quantitative Finance Random walk Statistics for Business Theoretical |
| title | Spread of infections in a heterogeneous moving population |
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