Population Biology
BIOL 763/599 / SCCC 411B / MATH 599
Spring 1999
University of South Carolina
Professor
Matt Miller
miller@math.sc.edu
Department of Mathematics
Professor
Dave Wethey
wethey@biol.sc.edu
Department of Biological Sciences
Apr 6-8: Nicholson-Bailey host-parasitoid model, first project reports (conclusion)
FIRST PROJECT ORAL REPORTS (final written version due Apr 6)
Be sure to step through
chaos.mws
and
may.mws
to understand non-linear dynamics in a single species
Then go on to
blowflies.mws
to see the dynamics of a 2-species non-linear system
For text material on non-linear discrete systems (several variables), see E-K sections 2.7, and for a preview of things to come, section 3.2 or Hastings chapter 9. The papers by May and by May and Oster give a nice exposition of the material as well, and are of major historical significance.
E-K page 62, problems 3, 4, 10, 11 are worth a look.