TITLE:
Qualitative Properties and Numerical Solution of the Kolmogorov-Fisher Type Biological Population Task with Double Nonlinear Diffusion
AUTHORS:
Dildora Kabulovna Muhamediyeva
KEYWORDS:
Double Nonlinearity, Cross-Diffusion, Biological Population, A Parabolic System of Quasilinear Equations, Convective Heat Transfer, Numerical Solution, Iterative Process, Self-Similar Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.10,
October
26,
2015
ABSTRACT: In the present work we study the global solvability of the Kolmogorov-Fisher type biological population task with double nonlinear diffusion and qualitative properties of the solution of the task based on the self-similar analysis. In additional, in this paper we consider the model of two competing population with dual nonlinear cross-diffusion.