University of South Carolina       

Department of Biological Sciences Department of Mathematics

MATH523/BIOL763 ---Population Biology aka Mathematical Biology --- Fall 2007
Time: Tuesday/Thursday 9:30 - 10:45 -- 202 Coker Life Science
Dr.
David Wethey -- Office: 704 EWS -- Phone: 777-3936  Email: wethey at biol.sc.edu
Dr. Ralph Howard -- Office:  -- Phone: 777-2913 Email: howard at math.sc.edu

Date

Topic

Readings 
Off Campus Access

Homework

Worksheets

Aug 23

Introduction / Unconstrained Population Growth

Case Ch1, Appendix 1

Complete Worksheet 1

 

Aug 28

Unconstrained Growth/ Introduction to transformations

 

 

 

Aug 30

Introduction to Maple, eigenvalue/eigenvector analysis

Case p45-54,
Worksheet 2

P 63-64: Prob 2,3  Worksheet 2

intro.mws

transformations.mws

Sep 04

Eigenvalue/eigenvector analysis

 

 

 

Sep 06

Eigenvalue/eigenvector analysis

 

 

 

Sep 11

Growth of age-structured populations

Case  p64 -end of chapter

 

leslie.mws,

Sep 13

Growth of stage-structured populations

 

p77: Prob 4,5

LesliePlot.mws,

Sep 18

Two-sex models

Case Ch8

 

eigen.mws

Sep 20

Continuous logistic population growth

Science 269:341-346

 

cohen.mws growth.mws

Sep 25

Discrete logistic population growth

Science 186: 645-647  AmNat 110:573-599

p135: Prob 6-11

may.mws nonlinear.mws

Sep 27

Discrete logistic continued / stability analysis

Choose Projects on single species dynamics

 

chaos_demo

Oct 02

Population regulation

Case Ch 6

 

 

Oct 04

Evolutionary population models: r- and K-selection

Ecology 52:453-468 Case Chap 9 to p 211
Choose Projects on single species dynamics
links to papers

 

rKselect.mws

Oct 09

Evolutionary population models

 

 

 

Oct 11

FALL BREAK

 

 

 

Oct 16

Harvesting Models

Case Chap 10

 

 

Oct 18

Predator-prey models - behavior

Case Ch 12 to p277

 

volterra.mws

Oct 23

Predator-prey models – linear stability analysis

 Case Ch 13 to p 301

 

 linearization.mws localstab.mws

Oct 25

Predator-prey models

 

  P290: 1,4,5,6,9

 

Oct 30

Project Presentations

 

 

 

Nov 01

Project Presentations

Projects on multiple species Systems

Links to papers

 

 

Nov 06

Host Parasitoid Models

 

 

blowflies.mws NBaddendum.mws

Nov 08

Work on projects

Choose Projects on multiple species systems

 

 

Nov 13

Competition models - behavior

Case Ch 14

Written Project Reports

competition.mws

Nov 15

Competition models - linear stability analysis

 

 

 

Nov 20

Maple analysis of equilibria, phase plots, linear stability, isocline plots, etc

 

 

DE_system.mws

Nov 22

THANKSGIVING HOLIDAY

 

 

 

Nov 27

Chemostats, Dimensional analysis

 

 

 

Nov 29

Project Presentations

 

 

 

Dec 04

Project Presentations

Chemostat handout, FinalExam Handed Out

 

 

Dec 06

Chemostat models continued

 

Written Project Reports

 

Dec 10

FINAL EXAM 2:00 pm  TAKE HOME Due at beginning of exam period

 

 

 

 Grading:

100 pts - First Project
100 pts - Second Project
200 pts - Take Home Final
400 pts - Total

This page last modified August 22, 2007 URL: http://www.biol.sc.edu/~wethey/763/index.html