Bifurcations and Patterns of Synchrony of Multi-Strain Infection Models
TITLE:
Bifurcations and Patterns of Synchrony of Multi-Strain Infection Models
DATE:
Friday, Jan 25th, 2013
TIME:
3:30 PM
LOCATION:
GMCS 214
SPEAKER:
Bernard Chan.
Department of Mathematics.
San Diego State University.
ABSTRACT:
Clustering behaviors have been found in numerous ODE based multi-strain epidemiological models. Numerical solutions of these models have shown that steady-state, periodic, or even chaotic solutions can be self-organized into clusters. Such clustering behaviors are not a priori expected. It has been proposed that the cross-protection from multiple strains of pathogens is responsible for the clustering phenomenon.
In this talk, I will show that the steady-state clusterings in existing models can be predicted. By recasting the systems in the groupoid formalism, we can show that the clusterings occur via semi-simple double zero bifurcations from the quotient networks of the models. The patterns of synchrony can be predicted through the stability analysis of the bifurcation. Finally, the biological implications of these results are discussed.
HOST:
Dr. Antonio Palacios.
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