Numerical modeling of nonlinear processes of biological populations of the Kolmogorov-Fisher in a two nonlinear environments
We consider the population model of two competing species with a double non-linear diffusion, which describes the nonlinear system of competing individuals. An important role in the study of the Cauchy problem and boundary value problems for equations play similar solutions. Under the self-similar, particular solutions that depend on the combination of t as x are meant. Knowledge of their plays sometimes decisive role in the study of various properties of the original equation. Revealed new features, such as the finite speed of propagation, localized outbreaks in a particular habitat.