Influence of Contact Network Topology on the Spread of Tuberculosis
This paper presents the influence of the complex networks topology on the spread of Tuberculosis with the use of the Individual-Based Model (IBM). Five complex network models were used with the IBM, namely, random, small world, scale-free, modular and hierarchical models. For every model, we applied the usual topological properties available in literature for the characterization of complex networks. Afterwards, we verified the topological effect of the contact networks in the evolution of tuberculosis and it was observed that different contact networks result in different epidemic thresholds \((\beta ^*)\) for the spread of tuberculosis. More specifically, we noted that networks that have greater heterogeneity of connections need a lower \(\beta ^*\), however when the value of the infection rate \((\beta )\) is large, the number of individuals infected are similar. It is believed that this observation may contribute to actions to reduce and eradicate the disease.
KeywordsTuberculosis Topological effect Complex networks Individual-Based Model Complex systems
E. R. Pinto acknowledges the support of Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), grant 1770124 and supported by resources supplied by the Center for Scientific Computing (NCC/GridUNESP) of the São Paulo State University (UNESP). A. S. L. O. Campanharo acknowledges the support of Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), grant 2018/25358-9. All codes were written in C language and all figures were generated with XmGrace and Pajek.
- 3.Edling, C.R., Åberg, Y., Liljeros, F., Amaral, L.A.N., Stanley, H.E.: The web of human sexual contacts. Nature 411(6840), 907–908 (2002)Google Scholar
- 7.Nepomuceno, E.G., Takahashi, R.H.C., Aguirre, L.A.: Individual based-model (IBM): an alternative framework for epidemiological compartment models. Biometric Braz. J./Revista Brasileira de Biometria 34(1), 133–162 (2016)Google Scholar
- 11.World Health Organization, et al.: Global tuberculosis report 2016. World Health Organization (2016)Google Scholar
- 13.Pinto, E.R., Campanharo, A.S.L.O.: Estudo do efeito topológico das redes contato na propagação de doenças infecciosas. Proc. Ser. Braz. Soc. Comput. Appl. Math. 6(2), 1–7 (2018)Google Scholar