The forwards and backwards of locally regulated populations
Probability Seminar
3rd November 2023, 3:30 pm – 4:30 pm
Fry Building, 2.04
We introduce a broad class of mechanistic models that might describe how spatially heterogeneous populations live, die, and reproduce. Questions we (start to) address include: how does population density change across space and time? And how does genetic ancestry spread across geography when looking back through time in these populations? A novelty is that by explicitly splitting reproduction into two phases (production of juveniles and their maturation) we produce a framework that not only captures models that when suitably scaled converge to classical reaction diffusion equations, but also ones with nonlinear diffusion that exhibit quite different behaviour.
This is joint work with Tom Kurtz (Madison), Peter Ralph (Oregon) and Ian Letter and Terence Tsui (Oxford).
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