Individual-based modelling and control of bovine brucellosis

Author:

Nepomuceno Erivelton G.1,Barbosa Alípio M.2,Silva Marcos X.3,Perc Matjaž456ORCID

Affiliation:

1. Control and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei, São João del Rei, Brazil

2. Department of Electrical Engineering, Centro Universitário Newton Paiva, Belo Horizonte, Brazil

3. Epidemiological Laboratory, Department of Preventive Veterinary Medicine, Federal University of Minas Gerais, Belo Horizonte, Brazil

4. Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia

5. CAMTP—Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, 2000 Maribor, Slovenia

6. Complexity Science Hub, Josefstädterstraße 39, 1080 Vienna, Austria

Abstract

We present a theoretical approach to control bovine brucellosis. We have used individual-based modelling, which is a network-type alternative to compartmental models. Our model thus considers heterogeneous populations, and spatial aspects such as migration among herds and control actions described as pulse interventions are also easily implemented. We show that individual-based modelling reproduces the mean field behaviour of an equivalent compartmental model. Details of this process, as well as flowcharts, are provided to facilitate the reproduction of the presented results. We further investigate three numerical examples using real parameters of herds in the São Paulo state of Brazil, in scenarios which explore eradication, continuous and pulsed vaccination and meta-population effects. The obtained results are in good agreement with the expected behaviour of this disease, which ultimately showcases the effectiveness of our theory.

Funder

Javna Agencija za Raziskovalno Dejavnost RS

Fundação de Amparo à Pesquisa do Estado de Minas Gerais

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

The Royal Society

Subject

Multidisciplinary

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