Biology 763

Project on Continuous Population Models


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Edwards, CA, TA Powell, HP Batchelder. 2000.
The stability of an NPZ model subject to realistic levels of vertical mixing.
Journal of Marine Research 58:37-60.
http://www.ingentaconnect.com.pallas2.tcl.sc.edu/content/jmr/jmr/2000/00000058/00000001/art00002

Franks, PJS. 1997.
Models of harmful algal blooms.
Limnology and Oceanography 42:1273-1282.
http://www.aslo.org/lo/toc/vol_42/issue_5_part_2/1273.pdf

Spencer R. Hall, Alan J. Tessier, Meghan A. Duffy, Marianne Huebner, Carla E. Caceres, 2006
WARMER DOES NOT HAVE TO MEAN SICKER: TEMPERATURE AND PREDATORS CAN JOINTLY DRIVE TIMING OF EPIDEMICS
Ecology 87:1684-1695
http://www.esajournals.org.pallas2.tcl.sc.edu/doi/pdf/10.1890/0012-9658%282006%2987%5B1684%3AWDNHTM%5D2.0.CO%3B2

Eberhardt, L. L., R. A. Garrott, D. W. Smith, P. J. White, and R. O. Peterson. 2003.
ASSESSING THE IMPACT OF WOLVES ON UNGULATE PREY.
Ecological Applications 13:776-783.
http://www.esajournals.org.pallas2.tcl.sc.edu/doi/pdf/10.1890/1051-0761%282003%29013%5B0776%3AATIOWO%5D2.0.CO%3B2

K. E. van de Wolfshaar, A. M. de Roos, and L. Persson. 2008.
Population feedback after successful invasion leads to ecological suicide in seasonal environments.
Ecology 89:259-268.
http://www.esajournals.org.pallas2.tcl.sc.edu/doi/pdf/10.1890/06-2058.1
Appendix with equations and parameter values
http://www.esapubs.org.pallas2.tcl.sc.edu/archive/ecol/E089/015/appendix-A.htm

Harrison, G. 1995,
Comparing Predator-Prey Models to Luckinbill's Experiment with Didinium and Paramecium
Ecology 76:357-374.
http://www.jstor.org.pallas2.tcl.sc.edu/stable/pdfplus/1941195.pdf

Robert D Holt, 2008
Theoretical perspectives on resource pulses
Ecology 89:671-678
http://www.esajournals.org.pallas2.tcl.sc.edu/doi/pdf/10.1890/07-0348.1

Gregor F. Fussmann, Stephen P. Ellner, Kyle W. Shertzer, and Nelson G. Hairston, Jr., 2000,
Crossing the Hopf Bifurcation in a Live Predator-Prey System
Science  290: 1358-1360
http://www.sciencemag.org.pallas2.tcl.sc.edu/cgi/reprint/290/5495/1358.pdf

David J. D. Earn, et al., 2000
Science 287:667
A Simple Model for Complex Dynamical Transitions in Epidemics
http://www.sciencemag.org.pallas2.tcl.sc.edu/cgi/reprint/287/5453/667.pdf

Alan Hastings and Thomas Powell. 1991.
Chaos in a three-species food chain.
Ecology 72: 896-903.
http://links.jstor.org.pallas2.tcl.sc.edu/sici?sici=0012-9658%28199106%2972%3A3%3C896%3ACIATFC%3E2.0.CO%3B2-Y

Robert M. May, 1972
Limit Cycles in Predator-Prey Communities
Science177:900-902.
http://links.jstor.org.pallas2.tcl.sc.edu/sici?sici=0036-8075%2819720908%293%3A177%3A4052%3C900%3ALCIPC%3E2.0.CO%3B2-2

Roy M. Anderson; Robert M. May, 1980,
Infectious Diseases and Population Cycles of Forest Insects
Science 210: 658-661.
http://links.jstor.org.pallas2.tcl.sc.edu/sici?sici=0036-8075%2819801107%293%3A210%3A4470%3C658%3AIDAPCO%3E2.0.CO%3B2-W

Michael E. Gilpin; M. L. Rosenzweig 1972
Enriched Predator-Prey Systems: Theoretical Stability
Science 177:902-904.
http://links.jstor.org.pallas2.tcl.sc.edu/sici?sici=0036-8075%2819720908%293%3A177%3A4052%3C902%3AEPSTS%3E2.0.CO%3B2-X

Graeme D. Ruxton; Steven L. Lima 1997
Predator-Induced Breeding Suppression and Its Consequences for Predator-Prey Population Dynamics
Proceedings of the Royal Society of London: Biological Sciences 264:409-415.
http://links.jstor.org.pallas2.tcl.sc.edu/sici?sici=0962-8452%2819970322%29264%3A1380%3C409%3APBSAIC%3E2.0.CO%3B2-1