Local vs. long-range infection in unidimensional epidemics

Priscila R. Silveira; Marcelo M. de Oliveira; Sidiney G. Alves

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arXiv · 1901.09969

Local vs. long-range infection in unidimensional epidemics

Priscila R. Silveira·Marcelo M. de Oliveira·Sidiney G. Alves

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Abstract

We study the effects of local and distance interactions in the unidimensional contact process (CP). In the model, each site of a lattice is occupied by an individual, which can be healthy or infected. As in the standard CP, each infected individual spreads the disease to one of its first-neighbors with rate $\lambda$, and with unitary rate, it becomes healthy. However, in our model, an infected individual can transmit the disease to an individual at a distance $\ell$ apart. This step mimics a vector-mediated transmission. We observe the host-host interactions do not alter the critical exponents significantly in comparison to a process with only L\'evy-type interactions. Our results confirm, numerically, early field-theoretic predictions.

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Priscila R. Silveira, Marcelo M. de Oliveira, Sidiney G. Alves. 2019-01-28. Local vs. long-range infection in unidimensional epidemics. https://arxiv.org/abs/1901.09969

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