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

Mar 16-18: Non-linear models, bifurcation, stable cycles and the transition to chaos

  • If you missed them, the Leslie/Levkowitch models discussed in class, and others, are to be found at caswell.mws (killer whales), keyfitz.mws (still under revision as of 3/2/99), bernal.mws (palm trees) , and bernal-appdx.mws
  • FIRST PROJECT ORAL REPORTS
  • Step through chaos.mws and may.mws
  • There's also exam1.mws which may be of interest.
  • For text material on nonlinear single variable models see E-K sections 2.1-2.6 and 3.1 or Hastings section 4.4.
  • 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.