Time-fractional numerical modelling applied to diffusion-wave processes of bacterial biomass growth

A time-fractional model of diffusion-wave processes is considered to describe the bacterial growth phenomenon. The 2D model is specified as an initial boundary value problem for a system of semilinear time-fractional partial differential equations. A computational scheme is based on a combination of a splitting finite difference method and an iterative procedure. Simulations are performed with the use of Matlab programming. Computational experiments allow one to examine the interactions of nutrient availability and biomass production under variation of dynamical modes of the biological system.