Investigation on Self-Similar Analysis of the Problem Biological Population Kolmogorov-Fisher Type System
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Research Parks Publishing LLC
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In this work we considered a parabolic system of two quasilinear reaction-diffusion equations for a biological population problem of the Kolmogorov-Fisher type describes the process of a biological population in a nonlinear two-component medium. We studied the qualitative properties of the solution to Cauchy problem based on self-similar analysis and its numerical solutions using the methods of modern computer technologies, to study the methods of linearization to the convergence of the iterative process with further visualization.
Keywords
Cauchy problem, quasilinear, reaction-diffusion, biological population, numerical solutions