webpage description

1. General formulation -
2. Diseases and epidemics -
3. Populations -
4. Biochemical kinetics -
5. Turing patterns -
6. Evolutionary Biology -

webpage description

1. Survey of self-organisation phenomena and complex non-linear phenomena -
2. Quantitative formulation -
3. Dynamical systems governed By ordinary differential equations -
4. One variable systems -
5. part I : Two variables – part II : The Diffusion equation
6. Spatially extended systems -

• Tutoral session : Differential equations models
• Example in Matlab (zip file).
• Exercise (pdf file).

• Strogatz, S.H. (2000). Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering. Cambridge, MA: Westview Press.
• Edelstein-Keshet, L. (2005). Mathematical models in biology. Philadelphia : SIAM.
• Nowak, M.A. (2006). Evolutionary dynamics : exploring the equations of life. Cambridge, Mass.
• Nicolis, G. (1995). Introduction To Nonlinear Science. Cambridge University Press.
• Landau, L. and Lifshitz, E. (1959). Fluid mechanics. Pergamon Press, Oxford.
• De Groot, S. and Mazur, P (1962). Non equilibrium thermodynamics. North Holland, Amsterdam.