MATHEMATICAL MODELLING OF TUBERCULOSIS EPIDEMICS

JUAN PABLO APARICIO, CARLOS CASTILLO-CHAVEZ

MATHEMATICAL BIOSCIENCES AND ENGINEERING

American Institute of Mathematical Sciences

Año: 2009 vol. 6 p. 209 - 237

1547-1063

Abstract. The strengths and limitations of using homogeneous mixing and heterogeneous mixing epidemic models are explored in the context of the trans- mission dynamics of tuberculosis. The focus is on three types of models: a standard incidence homogeneous mixing model, a non-homogeneous mixing model that incorporates ‘household’ contacts, and an age-structured model. The models are parameterized using demographic and epidemiological data and the patterns generated from these models are compared. Furthermore, the effects of population growth, stochasticity, clustering of contacts, and age structure on disease dynamics are explored. This framework is used to asses the possible causes for the observed historical decline of tuberculosis notifications.