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nlin.SI2022
Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis
Scott W McCue, Bronwyn H Bradshaw-Hajek, Matthew J Simpson
We consider a family of exact solutions to a nonlinear reaction-diffusion model, constructed using nonclassical symmetry analysis. In a particular limit, the mathematical model app…
q-bio.PE2022
Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework
Yifei Li, Pascal R. Buenzli, Matthew J. Simpson
Understanding whether a population will survive and flourish or become extinct is a central question in population biology. One way of exploring this question is to study populatio…