TO THE NUMERICAL MODELING OF SELF-SIMILAR SOLUTIONS OF REACTION-DIFFUSION SYSTEM OF THE ONE TASK OF BIOLOGICAL POPULATION OF KOLMOGOROV-FISHER TYPE

Aripov M.M, Muhamediyeva D.K

Abstract: On the basis of self-similar analysis of solutions investigated properties of solutions of a nonlinear system of reaction-diffusion of one biological task of Kolmogorov-Fisher type. Offered suitable initial approximations for quickly convergence iteration process. Numerical experiments are carried out with visualization for different values of parameters of the system.

Keywords: biological population, nonlinear system of differential equations, initial approximation, numerical, iteration process, self-similar solution.

DOI: https://doi.org/10.15623/ijret.2013.0211043