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Threshold Parameters in Ecology and Epidemiology

Webinar Presented By:  Pauline van den Driessche, University of Victoria

Speaker Bio:  Pauline van den Driessche is a British and Canadian applied mathematician who is a professor emerita in the department of mathematics and statistics at the University of Victoria, where she has also held an affiliation in the department of computer science.  She is well known for her work in mathematical biology and linear algebra.

In mathematical biology, van den Driessche's contributions include work on delay differential equations and on Hopf bifurcations and the effects of changing population size and immigration on epidemics.

In linear algebra she has done more fundamental research motivated by applications in mathematical biology.  Her work in this area includes pioneering contributions to the theory of combinatorial matrix theory in which she proved connections between the sign pattern of a matrix and its stability, as well as results on matrix decomposition.

In 2007, The Canadian Mathematical Society selected Pauline van den Driessche as the recipient of the Krieger-Nelson Prize.

Abstract:  Target reproduction numbers are defined and shown to unify threshold parameters in population biology, including the net reproductive value used in ecology and the basic reproduction number used in epidemiology.  Both algebraic (using matrices) and graphical (using weighted digraphs) approaches to computing target reproduction numbers are developed.  Knowledge of these target reproduction numbers is demonstrated to aid in measuring the change of certain model parameters in order to protect endangered species (e.g., salmonoids), control invasive species (e.g., scentless camomile) and to determine disease control strategies (e.g., for cholera).

Date & Time:  September 23, 2020 | 3 pm

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