Time delays in epidemic models: modeling and numerical
Department of Mathematics and Statistics
University of Victoria
In this course, we present some aspects of time delays in
mathematical models of infectious disease transmission. We
concentrate on delays originating from constant sojourn times in
the various states of a system. In particular, we focus on a
model of vaccination for a disease that confers no immunity.
The model under consideration is an integro-differential
system. We show that choosing specific sojourn times description
functions yields reduced models that undergo so called
In the case of a delay integro-differential system, this
backward bifurcation is numerically investigated. Some
considerations on numerical simulation of delay differential
systems conclude this course.
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Last modified: Sun Sep 08 23:53:09 Pacific Daylight Time 2002