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arXiv · 1506.06062

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

Alberto Maltz·Gabriel Fabricius
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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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Alberto Maltz, Gabriel Fabricius. 2015-06-19. SIR model with local and global infective contacts: A deterministic approach and applications. https://arxiv.org/abs/1506.06062

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