Travelling wave in a time-discrete reaction-diffusion equation

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Authors	POSPÍŠIL Zdeněk
Year of publication	2013
Type	Conference abstract
MU Faculty or unit	Faculty of Science
Citation
Description	The famous Fisher partial differential equation modelling a problem in population genetics was modified and generalized in various forms. The equation admits a travelling wave solution and, consequently, it may be considered as a model of biological invasion. The aim of this work is to study travelling wavefronts in a particular modification of the Fisher equation - a discrete-time integrodifference equation with a compact support kernel. An approximation of the wavefront shape by a difference equation solution is presented.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III