Approximate solutions to a degenerate reaction-diffusion model: a pragmatic sharp front approach

Approximate analytical solutions to a degenerate reaction-diffusion model pertinent to population dynamics and chemical kinetics have been developed. Both the degenerate diffusivity and the growth function have been formulated as power-law functions. The integral-balance method applied to a preliminary transformed model (via the Danckwerts transformation) and by a direct integration approach has provided physically reasonable results. The model equation scaling has revealed the Fourier number as controlling dimensionless group.