36 citations · 99 across the 6 of their papers we have counts for
3 papers · 1 filter
Non-vanishing sharp-fronted travelling wave solutions of the Fisher-Kolmogorov model
Maud El-Hachem, Scott W McCue, Matthew J Simpson
The Fisher-KPP model, and generalisations thereof, is a simple reaction-diffusion models of biological invasion that assumes individuals in the population undergo linear diffusion…
Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation
Scott W McCue, Maud El-Hachem, Matthew J Simpson
A family of travelling wave solutions to the Fisher-KPP equation with speeds can be expressed exactly using Weierstrass elliptic functions. The well-known soluti…
A sharp-front moving boundary model for malignant invasion
Maud El-Hachem, Scott W McCue, Matthew J Simpson
We analyse a novel mathematical model of malignant invasion which takes the form of a two-phase moving boundary problem describing the invasion of a population of malignant cells i…