Solving the Fisher/KPP Evolution on the Globe
Amélie Loher · Repository for Publications and Research Data (ETH Zurich) · 2020
The Fisher equation was originally intended to model the propagation of advantageous genes.We use this reaction-diffusion equation equipped with non-local boundary conditions to model the propagation of individuals across geographical maps.These boundary condition account for a non-local "diffusion" across channels.The results represent the dispersal of the Homo Sapiens across the globe.The discretisation is based on finite element methods.Moreover, the Strang splitting method is employed to cope with the diffusion and reaction term separately.