Mathematical Modelling/Computational Science (CA 659)

        Student Consultation Times
         Tutorial and Lecture Timetable

Week
Handouts in pdf
(2Up)
  Comments
1
 Chapter 1
(2Up)		 Introduction and Basics:
  • Matrix Basics
  • Fibonacci's Rabbits
2
  • Bonham Reproduction
  • Leslie Matrices
3
  • Markov Processes
  • Discrete Logistic Growth Equation
  • Difference Equations for Population Genetics
4
 Chapter 2
(2Up)

 		Growth and Decay:
  • Malthusian Growth
  • r/K Selection Theory
  • Continuous Logistic Growth Model and Applications
5
  • Equilibrium & Stability
  • The Chemostat
6
  • The Chemostat (cont'd)
  • Non-Dimensionalisation
7
No Lecture
8
 Chapter 3
(2Up)
Linear and Non-Linear Interaction Models:
  • Diabetes Detection
  • Antibiotic Pharmacokinetics
9
  • Phase-Plane Plots
  • Guerrilla Combat Model
10
  • Predator-Prey Model
  • Symbiosis
  • Kermack-McKendrick (SIR) Model of Infectious Diseases
11
  • SIRS Model
  • SIS Model
  • Eradication & Control of Diseases Modelled by SIR/SIS/SIRS
12
Revision Lecture