Biology 763

Project on Continuous Population Models

 

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