QUALITATIVE PROPERTIES OF SOLUTION OF CROSS-DIFFUSION MODEL OF KOLMOGOROV-FISHER TYPE BIOLOGICAL POPULATION TASK

In present work explores the issues of global solvability of the biological population task of Kolmogorov-Fisher type and qualitative properties of the solution of task on the basis of self-similar analysis. Considered a parabolic system of two quasilinear equations of reaction-diffusion. Suggested suitable initial approximation for fast convergence iterative process. Carried out numerical experiments with visualization for different values of system parameters. Modeling of growth processes of dissipative structures in reaction-diffusion (RD) systems contributes to the development of theoretical ideas about colonial organization of populations.