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LINEAR ALGEBRA IS EVERYWHERE: A DUO OF EXAMPLES
FROM MATHEMATICAL BIOLOGY

PAULINE VAN DEN DRIESSCHE

Linear algebra is increasingly important in applications to many areas. To illustrate this
statement, two problems in mathematical biology are considered. The ﬁrst concerns
target reproduction numbers as threshold parameters. These are deﬁned, their properties
investigated, and then applied to the projection matrix of an invasive weed having
three life stages, with the aim of controlling the weed. The second concerns the
spread of an infectious disease, such as cholera, in a heterogeneous environment
modeled as a community network. The impact of varying the network on the basic
reproduction number is quantiﬁed by using a group inverse, and control strategy
investigated.

University of Victoria, B.C. Canada

Email address: vandendr@uvic.ca