Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework

1 code implementation • 21 Dec 2021 • Yifei Li, Pascal R. Buenzli, Matthew J. Simpson

One way of exploring this question is to study population dynamics using reaction-diffusion equations, where migration is usually represented as a linear diffusion term, and birth-death is represented with a bistable source term.

Extinction of bistable populations is affected by the shape of their initial spatial distribution

1 code implementation • 5 Jan 2021 • Yifei Li, Stuart T. Johnston, Pascal R. Buenzli, Peter van Heijster, Matthew J. Simpson

In this work we study population survival or extinction using a stochastic, discrete lattice-based random walk model where individuals undergo movement, birth and death events.

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