1.
Describe, as clearly and concisely as you can, the
epidemic model you came up with in class on Thursday.
(It is ok to change it if you've had second thoughts,
and ok to differ from your group-mates if you want to.)
2. I have written this Maple worksheet, mws version, HTML version, inspired by what you developed in class. It generates an animated histogram, showing the fractions of the population that are susceptible (green, 1st column), infected (red), recovered (turquoise), and dead (grey, last column). I think it can be modified fairly readily to represent any of the models you came up with.
Take it and modify it so that it represents your own model. For all the parameters, choose what you think are reasonable values for whatever disease and public health policy you are modelling.
3. Suppose that initially the entire population is susceptible
except for those who are initially infected.
Investigate how the total number of deaths for the entire epidemic depends
on the size of the fraction of the population that is initially infected.
Discuss whether the results are surprising
or coincide with your expectations
.
4. How would a quarantine policy be expressed in your Maple-implemented model? Investigate quantitatively the effect of some feasible quarantine policy on the total number of deaths, and summarize your results.
5. If you have noticed anything else that is interesting or informative coming out of your simulations, describe it clearly and concisely here.
IF YOU ARE UNSURE ABOUT HOW TO GET STARTED, TALK TO ME EARLY IN PERSON OR VIA EMAIL.