SYSTEM OF QUASILINEAR EQUATIONS OF REACTION-DIFFUSION TASKS OF KOLMOGOROV-FISHER TYPE BIOLOGICAL POPULATION TASK IN TWO-DIMENSIONAL CASE

D.K.Muhamediyeva

Abstract: In this paper considered parabolic system of two quasilinear reaction-diffusion equations of Kolmogorov-Fisher type of biological population task relation for the two-dimensional case and localization of the wave solutions of the reaction - diffusion systems with double nonlinearity. Cross-diffusion means that spatial move of one object, described by one of the variables is due to the diffusion of another object, described by another variable.Considered spatial analogue of the Volterra-Lotka competition system with nonlinear power dependence of the diffusion coefficient from the population density.

Keywords: Population, system, differential equation, cross-diffusion, double nonlinearity, wave solution.

DOI: https://doi.org/10.15623/ijret.2014.0307056