As part of the AARMS Advanced Course series, we are pleased to announce, for the winter term the following course:
Differential Equations and Dynamical Systems
James Watmough, University of New Brunswick
Many of the processes studied in science, engineering and economics are described by nonlinear differential equations. This course introduces qualitative methods to find essential information about the solutions of nonlinear equations without necessarily attempting to find the solution completely. The intent for this term is to cover the theorems on existence, uniqueness, stability, stable and centre manifolds, and dependence on parameters for systems on nonlinear differential equations. Examples will be taken mainly from Mathematical Ecology, Epidemiology, and Immunology.