PROF. DR. JUANCHO ARRANZ COLLERA

Prof. Dr. Juancho A. Collera received his Ph.D. in Mathematics from Queen’s University at Kingston, Ontario, Canada. He is currently a Professor of Mathematics at the Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio. He was one of the recipients of the 2016 Abel Visiting Scholars Grant by the IMU-CDC, and is a founding member of the Philippine Society for Mathematical Biology. His research interests include Delay Differential Equations, Dynamical Systems, and Bifurcation Theory.

TIME-DELAY SYSTEMS AND APPLICATIONS

You have probably seen time-delay systems used in models from ecology (e.g., predator-prey systems) and epidemiology (e.g., SIR models) for their appropriateness in describing certain biological or physiological processes. In this talk, we survey other fields of study that use time-delay systems. Particularly, we look at simple models from microeconomics, queueing systems, and climate science which are modeled using systems of delay differential equations (DDEs). This talk serves both as an introduction and an invitation to DDEs.