On the Solution of a Generalized Equation in a Reaction Problem with Diffusion with Distributed Parameters

Abstract

In the proposed article, we analyze the effects of results to a primary issue, that are inadequately analyzed, hence stimulating to trace a development of the reaction exercise with dissemination. The main results of numerical and analytical studies of nonlinear mathematical models describing population processes in a homogeneous and inhomogeneous medium with nonlinear diffusion by quasilinear parabolic equations were presented. We studied such categories of nonlinear differential equations where an unspecified function and imitative of this function penetrate in a power-law manner, thus actual physical exercises were nonlinear, and non-linear numerical models should be used to describe them adequately.