MAT4996: Mathematical Modelling of Infectious Diseases

You are encouraged to begin assignments early. Indeed, Assignments 1-4 can be done any time after the first two classes, as can the final assignment.

Assignments:

Assignment 1 (the individual assignment) was handed out in the second class. Due Friday, Mar 20.

Assignment 2. Due Monday Mar 23.
Note: There is a small typo in Equation (3.4). The \lambda should be \Omega.

Solutions (page 1)

Solutions (page 2). The final line is cut off; there is 0.5 marks for concluding that they match and also 0.5 marks for stating which is easier. (Either answer is okay.)

Solutions (pages 3-4)

Assignment 2 is worth 12 marks in total.

Assignment 3. Due Friday Mar 27.

Assignment 3 solutions.

Assignment 4. Due Monday Mar 30.

Correction: Question 3 should include a constant birth rate. Question 4 should have C'= not C=.

Assignment 4 solutions.

Assignment 5. Due Thursday April 2.

Final Assignment Due Friday April 3 in class. Note that this assignment MUST be delivered in class.

In general you can do any assignment except Assignment 4 already, so be sure to get ahead before the deadlines crash in.

Slides:

Simple epidemic models

Partial Fractions

R0

Eigenvalues

The R0 sleight of hand

HIV Vaccination

HIV Vaccination Handout

Microbicides for HIV prevention

The impact of microbicides on men

A model for the eradication of Guinea Worm Disease

Neglected Tropical Diseases: infection, modelling and control

HIV and End-Stage Renal Disease

Extra notes on classification of equilibria in nonlinear systems

HPV Vaccination

HPV Vaccination Handout

HPV Provinces

Malaria Vaccination

Malaria Vaccination Handout

Malaria Spraying

Malaria Spraying Notes

Evaluating a potential Cytotoxic T-lymphocyte HIV vaccine

Floquet Theory for impulsive differential equations

Adherence to antiretroviral drugs: how many doses can you miss before resistance emerges?

Modelling imperfect adherence to HIV induction therapy

Can we spend our way out of the AIDS epidemic?

The impact of media on an influenza pandemic

Can the viral reservoir of latently infected CD4+ T cells be eradicated with antiretroviral drugs?

Matlab code for impulsive differential equations for the Guinea Worm model:
GWD.m
GWDf.m