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

Jan 19-21: The logistic model modifications; Maple

  • Step through the two Maple worksheets intro.mws and growth.mws , and think about what's going on in them. At this point your knowledge of Maple will be "passive", recognizing what commands do, but not entering them yourself, but in time you'll become an "active" user.
  • Read Edelstein-Keshet sections 4.2-4.6, pp 121-129, on the chemostat model and dimensional analysis. Hastings has only a snipet on this: the box on page 95.
  • Understand the various ingredients in a mathematical model: DE, initial condition(s), independent variable, dependent variable(s), parameters.
  • Do E-K page 153 problems 6-9, 13, 14abd (feel free to raise questions in class!)
  • Read Cohen 1995 Science 269:341-346. The Maple worksheet cohen.mws may give you some feel for his model, and the chance to explore it in more depth