On the spatio-temporal disease dynamics in populations with discrete-time epidemics in one and two spatial dimensions

Friday, March 26, 2010 - 11:50am - 12:20pm
EE/CS 3-180
Karen Ríos-Soto (University of Puerto Rico)
The use of integrodifference equations in the study of the role
of dispersal on populations with discrete generations has
generated interesting mathematical problems and expanded our
understanding of their spatio-temporal dynamics. Here, we use
discrete-time epidemic models that can be reduced to a single
map for the infectious class, It+1 =g(It), where g may
or may not be monotone. We use new theoretical work, modeling,
analysis and simulations to illustrate the role of g on
disease dynamics in one and two spatial dimensions.