Standing wave patterns in models for microbial growth

Abstract

A kinetic model for microbial growth dynamics taking into account that cells can exist in two phases, fast growing and slow growing, is extended to spatially nonuniform conditions. The resulting reaction-diffusion system with unequal diffusion coefficients exhibits standing wave patterns as can be predicted via conditions concerning the kinetic equations. These solutions come from a Hopf bifurcation of Turing type. In the whole range of parameters there are no time-periodic solutions without diffusion. (orig.)Available from TIB Hannover: RR 1606(97-06) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman