MATH 4191

Is an introduction to population dynamics modelling and epidemiological modelling via ordinary and partial differential equations. Topics include basic non-spatial single species models, pollution models, non-spatial models of interacting populations, chemostat models, disease dynamics models, spatial population dynamics via reaction-diffusion equations, steady state solutions, modelling of invasive species, notions of critical domain size and spreading speed, extending classical models to two-compartment and spatially heterogenous settings.