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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年2月28日

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  • Jordan Hristov

摘要

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.