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Multiple parameter bifurcations in ecological and epidemiological models

Presented by: 
S Ruan [Dalhousie]
Date: 
Friday 14th December 2001 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Session Title: 
Immunology, Ecology and Epidemiology (main themes)
Abstract: 
I will show that many biological systems such as predator-prey models with harvesting, SIRS epidemiological models with nonlinear incidence rate, epidemiological models with constant removal rate of the infectives, predator-prey models with nonmonotonic functional response, predator-prey models with nonlinear mortality rate, etc. exhibit codimension two bifurcations which include Hopf, saddle-node, and homoclinic bifurcations. Examples of codimension three bifurcations will also be given.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons