Publication details

Wavefronts in Time-Discrete Space-Continuous Fisher-Kolmogorov Equation



Year of publication 2014
Type Conference abstract
MU Faculty or unit

Faculty of Science

Description The Fisher-Kolmogorov reaction-diffusion equation was originally introduced as a model of biological invasions, i.e. of genes or populations advance. This equation admits travelling wave solution and, this way, it opens a problem of determination a speed of the wave and a shape of the wavefront. An important modification of the equation consists in discretisation of time in the reaction term; it describes growth and dispersal of a population with non-overlapping generations. The aim of the contribution is to study the modified equation under some natural hypotheses put on the growth function and on patterns of dispersion. The wavefront shape is extracted as a difference equation solution.

You are running an old browser version. We recommend updating your browser to its latest version.

More info