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Mathematics and Statistics
+64 3 3692462
Jack Erskine 614
My research is in mathematical modelling, particularly in ecology and physiology. The motivation for this research comes from real-world problems and the emphasis is on qualitative mathematical models that capture the essential behaviour of a particular phenomenon. I have research interests in a variety of applications: ecology and exploitation of fish communities; collective cell behaviour; complex ecological networks; invasive species; epidemiology; animal movement; neurovascular coupling. Some of the tools I use in my research include stochastic processes, integro and partial differential equations, dynamical systems, spatial moment dynamics, statistical modelling, and parameter inference.