SIR model with local and global infective contacts: A deterministic approach and applications

2015/06/19 by Maltz, Alberto, Fabricius, Gabriel · 1 citation
#FOS: Biological sciences #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.1506.06062

Abstract

An epidemic model with births and deaths is considered on a two dimensional LxL lattice. Each individual can have global infective contacts according to the standard SIR model rules or local infective contacts with its nearest neighbors. We propose a deterministic approach to this model and verified that there is a good agreement with the stochastic simulations for different situations of the disease transmission and parameters corresponding to pertussis and rubella in the prevaccine era.

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