Research ArticleNo Access

A compartmental model for antibiotic resistant bacterial infections over networks

Damián A. Knopoff

Centro de Investigación y Estudios de Matemática, CONICET — FaMAF (UNC), Córdoba, Argentina

E-mail Address: damian.knopoff@unc.edu.ar

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and

Facundo A. Trucco

Argentine Red Cross, Córdoba, Argentina

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https://doi.org/10.1142/S1793524520500011Cited by:5 (Source: Crossref)

Abstract

This paper presents a compartmental model for bacterial infections in a population distributed over a network of individuals. Within each node, individuals interact, bacteria can be transmitted and the disease may be spread; moreover, the acquisition of bacterial antibiotic resistance is considered. In addition, nodes are connected through weighted edges, and consequently individuals from different nodes may interact. As a result, the infection may be propagated over the network. We perform an analysis on this propagation as well as numerical simulations in order to illustrate the validity of the model.

Keywords:

AMSC: 92B05, 92C45, 92C50, 65L99

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