Mathematical Biology 
Corso di Laurea di Matematica
anno accademico 2009/10

Andrea Pugliese

  • Program.  
  • Notes.
    • Check courses of previous years or books:
    • Suggested textbook for the first part of course:

      F. Brauer and C. Castillo-Chavez, Mathematical models in population biology and epidemiology, Springer 2001 (among reserved books in the library).

    • A presentation and analysis of the 1-prey 2-predators model with predator coexistence
    • A summary of Leslie matrices for discrete age-structured populations
    • An introduction to Molecular network dynamics.
    • An introduction to models of cell cycle.
    • An introduction to models for signal transmission in neurons (Hodgkin-Huxley and FitzHugh-Nagumo).
    • An introduction to birth and death processes (from H.M. Taylor and S. Karlin, An introduction to stochastic modeling, Academic Press, 1994)
    • Very quick overview of simplest bifurcation theorems
    • A quick overview of Perron-Frobenius theory for non-negative matrices
    • Tikhonov's theorem for fast-slow systems
  • Lectures: Diary.  
  • Exercises
  • Computer programs.
    • Maple worksheet for Holling prey-predator system (Save link as...; do no try to read it)

Andrea Pugliese
25 marzo 2010