Mathematical Biology

This a lecture course in Part II of the Mathematical Tripos (for third-year undergraduates). Notes and matlab programs are in most cases very small developments on those presented in previous years by Ray Goldstein and Tim Pedley.

• Lecture Notes   PDF File
  
• Matlab program: delay-differential logistic model
  
• Matlab program: Cheyne-Stokes delay-differential model
  
• Matlab program: Cobweb diagram for the logistic map
  
• Matlab program: Michaelis-Menten differential equations
  
• Matlab program: Lotka-Volterra equations (with logistic growth and harvesting)
  
• Matlab program: More general predator-prey equations
  
• Matlab program: Fitzhugh-Nagumo model
  
• Matlab program: logistic birth-death model
  
• Matlab program: nonlinear diffusion
  
• Matlab program: Fisher equation
  
• Matlab program: Bistable reaction-diffusion equation
  
• Example Sheet 1   PDF File
  
• Example Sheet 2   PDF File
  
• Example Sheet 3   PDF File
  
• Example Sheet 4   PDF File
  

• © Peter Haynes, phh@damtp.cam.ac.uk