Michael Y Li, PhD

Research

Areas

Nonlinear Differential Equations & Dynamical Systems, Mathematical Modeling of Infectious Diseases, Viral Dynamics and Immune Responses

MATH 334 - Ordinary Differential Equations

First order equations, linear equations of higher order. Power series solution. Laplace transform methods. Introduction to special functions. Introduction to linear systems. Prerequisites: One of MATH 102, 125 or 127, and one of MATH 209, 214 or 217. Note: Credit can be obtained in at most one of MATH 201, MATH 334, MATH 336, or MA PH 251.

MATH 574 - Mathematical Modeling of Infectious Diseases

Development of mathematical models for the transmission dynamics of infectious diseases, incorporation of important epidemiological factors including disease latency, recovery, relapse and reinfection, isolation and quarantine, vaccination and immunity. Stability and bifurcation analysis of mathematical models. Estimation of model parameters from public health data, and numerical simulations of models. Prediction of the time course of epidemics and long-term patterns of endemic diseases. Prerequisites: MATH 334 or MATH 336, or with instructor's consent.

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