Investigation on Self-Similar Analysis of the Problem Biological Population Kolmogorov-Fisher Type System

Cauchy problem quasilinear reaction-diffusion biological population numerical solutions

Authors

  • Sh. Sadullaeva
    Sadullaeva@gmail.co
    Prof. of "Multimedia Technologies" department Tashkent University of Information Technologies named after Muhammad al-Khwarizmi Tashkent, Uzbekistan
  • Z. Fayzullaeva assistant of "Basics of Computer Science" department Tashkent University of Information Technologies named after Muhammad al-Khwarizmi Tashkent, Uzbekistan
November 12, 2021

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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.