Day 24 in math modeling
Homework
Exercises from chapter 4 due Monday, April 16th.
Exercises from chapter 5 due prior to final.
Differential Equations (continued)
Models of epidemics
- a non-linear system
Compartmental models
The equations: SIR
The basic reproduction number
and the implications for public health.
Long term behavior of the population
explosive growth?
limited growth?
Sometimes qualitative information results even when the solution is not forthcoming!
A non-linear D.E. model for the origin of sex in simple organisms
Compartmental model
Non-linear differential equations
Qualitative effect of parameter changes
Jim's project: lizard body size and growth
Notes:
Mathematica Notebook
, containing techniques for
The SIR non-linear system
Jim's differential equation example
Website maintained by
Andy Long
. Comments appreciated.