GROUP PROJECTS AND SELECTED READING MATERIAL:

Below is a list of Group Projects: Each participant is expected to select (and begin reading on) one of the listed projects.

The following are some selected useful reading material for the Summer School:

• Linda J. Allen (2003). An Introduction to Stochastic Models with Applications to Biology. Prentice Hall.
  
  
• R.M. Anderson and R.M. May (1991). Infectious Diseases of Humans.
  Oxford University Press. New York.
  
  
• F. Brauer and C. Castillo-Chavez (2000). Mathematical Models in Population Biology and Epidemiology. Text in Applied Mathematics. Springer.
  
  
• Mathematical Studies on Human Disease Dynamics:
  Emerging Paradigms and Challenges. American Mathematical Society
  Contemporary Mathematics Series, Volume 410, 2006 (389 Pages).
  A.B. Gumel (Chief Editor), Carlos-Castillo-Chavez (ed.), Ronald E. Mickens (ed.) and Dominic Clemence (ed.).
  
  
• Mathematical Approaches for Emerging and Reemerging Infectious
  Diseases: An Introduction (2002). The IMA Volumes in Mathematics and its
  Applications. Volume 125, pp. 229-250, Springer, New York.
  Castillo-Chavez, C. with S. Blower, P.v.d. Driessche, D. Kirschner
  and A.-A. Yakubu (Eds.)
  
  
• S.P. Otto and T. Day (2007). A Biologist's Guide to Mathematical Modeling. Princeton Unviersity Press
  
  
• Gerda de Vries, Thoman Hillen, Mark Lewis, Johannes M¨uller and Birgit Sch¨onfisc (2006). A Course in Mathematical Biology: Qualitative Modelling with Mathematical and Computational Methods. SIAM Press.
  
  
  
• Lawrence Perko (1991). Differential Equations and Dynamical Systems. Springer-Verlag.
  
  
• Steven H. Strogatz (1994). Nonlinear Dynamics and Chaos. Perseus Publishing. Cambridge, Massachussets.
  
  
• S.M. Garba, A.B. Gumel and M.R. Abu Bakar (2008). Backward bifurcations in dengue transmission dynamics. Mathematical Biosciences. 215(1): 11-25.
  
  
• H.W. Hethcote (2000). The mathematics of infectious diseases. SIAM Review. 42(4): 599-653.
  
  
• W.O. Kermack and A. G. McKendrick (1927). A contribution to the mathematical theory of epidemics. Proc. Roy. Soc. A. 115: 700-721.
  
  
• C. Kribs-Zaleta, C. and J. Valesco-Hernandez (2000). A simple vaccination model with multiple endemic states. Math Biosci. 164: 183-201.
  
  
• T. Day, A. Park, N. Madras, A.B. Gumel and J. Wu (2006). When is quarantine a useful control strategy for emerging infectious diseases? American Journal of Epidemiology}. 163: 479-485.
  
  
• A. Perelson and P. Nelson (1999). Mathematical analysis of HIV-1 dynamics in vivo. SIAM Review. 41: 3-44.
  
  
• O. Sharomi, C.N. Podder, A.B. Gumel and B. Song (2008). Mathematical analysis of the transmission dynamics of HIV/TB co-infection in the presence of treatment. Mathematical Biosciences and Engineering. 5(1): 145-174.
  
  
• O. Sharomi, C.N. Podder, A.B. Gumel, E. Elbasha and J.Watmough (2007). Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Mathematical Biosciences. 210(2): 436-463.
  
  
• van den Driessche, P. and J. Watmough (2002). Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 180: 29-48.