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Home / Journals / Mathematical Modelling and Applications / Mathematical Modeling Of Biological Population Process
Mathematical Modeling Of Biological Population Process
Lead Guest Editor:
Muhamediyeva Dildora
Center for Development Hardware and Software Products Under TUIT, Tashkent University of Information Technologies Named After Al Kharezmi, Tashkent, Uzbekistan
Guest Editors
Aripov Mersaid
Applied Mathematics, National University of Uzbekistan
Tashkent, Uzbekistan
Bekmuratov Tulkun
Center for Development Hardware and Software Products Under TUIT, Tashkent University of Information Technologies Named After Al Kharezmi
Tashkent, Uzbekistan
Fayazov Kudratillo
Applied Mathematics, National University of Uzbekistan
Tashkent, Uzbekistan
Khaydarov Abdugappar
Applied Mathematics, National University of Uzbekistan
Tashkent, Uzbekistan
Fayazova Zarina
Applied Mathematics, National University of Uzbekistan
Tashkent, Uzbekistan
Kabiljanova Firuza
Applied Mathematics, National University of Uzbekistan
Tashkent, Uzbekistan
Rahmonov Zafar
Applied Mathematics, National University of Uzbekistan
Tashkent, Uzbekistan
Mingikulov Zafar
Center for Development Hardware and Software Products Under TUIT, Tashkent University of Information Technologies Named After Al Kharezmi
Tashkent, Uzbekistan
Introduction
In the world wide distribution of mathematical models of processes described by quasilinear parabolic equations, due to the fact that they are derived from the fundamental conservation laws. Therefore, it is possible that the process of biological populations and physical process that does not have at first glance nothing in common, describe the same nonlinear diffusion equation, only with different numerical parameters. Studies show that the nonlinearities change not only the quantitative characteristics of the processes, but the qualitative picture of their behavior. Interestingly, from the point of view of applications to study the following classes of nonlinear differential equations in which the unknown function and the derivative of this function consists of exponential way. Then, with the comparison theorems of solutions of this class can be extended. In this case, to find a suitable solution of the differential inequality is easier than any exact solution of parabolic equations describing nonlinear processes biological populations.

Aims and Scope:

Reaction-diffusion
Nonlinear tasks
Biological population
Mathematical modeling
Numerical experiment
Visualization
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