Mathematical modelling of tuberculosis epidemics
Abstract:
The strengths and limitations of using homogeneous mixing and heterogeneous mixing epidemic models are explored in the context of the transmission 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.
Año de publicación:
2009
Keywords:
- Non-autonomous systems
- Tuberculosis
- Demography
- Stochastic Models
Fuente:
Tipo de documento:
Article
Estado:
Acceso abierto
Áreas de conocimiento:
- Modelo matemático
- Epidemiología
- Epidemiología
Áreas temáticas:
- Álgebra
- Medicina forense; incidencia de enfermedades
- Enfermedades