Mathematical Models in Communicable Diseases

Since the first attempts to model the transmission of malaria by Ross at the beginning of the 20th century, several advances in mathematical and computational techniques have allowed the development of models with predictive capacity and that have contributed a lot in the design and implementation of epidemic and endemics control strategies.   

1. Introduction to Mathematical Epidemiology  2. Classes of Models  3. Deterministic Models  4. Stochastic Models  5. Microparasites Models 6. Macroparasitic models  7. R0  8. Models in Vector-borne Diseases  9. Heterogeneities  10. Control strategies  11. Fuzzy Logic in Epidemiology  12. Networks

Basic Information

Workload
45 hours

Mandatory: 

  • Massad, E. et al. Métodos Quantitativos em Medicina. Manole Editores, 2003.
  • Massad, E. et al. Fuzzy Logic in Action: Applications in Epidemiology and Beyons. Springer Verlag, 2008.
  • Vynnycky, E. and White, R. Infectious Diseases Modelling. Oxford UNiversity Press, 2010.

Complementary: 

  • Infectious Diseases of Humans: Dynamics and Control by Roy M. Anderson and Robert M. May. Oxford UP. 1991
  • Mathematical Epidemiology of Infectious Diseases by O.Diekmann and J.A.P.Heesterbeek. Wiley & Sons. 2000.
  • Mathematical Modelling in Epidemiology by J.C. Frauenthal. Springer-Verlag. 1980.
  • Epidemic Modelling by D.J.Dalley and J.Gani. Cambridge UP. 1999.
  • Mollison D. Epidemic Models. Cambridge. Cambridge University Press. 1995.