Maqola

About one exact solution to the nonlinear problem of a biological population with absorption in a heterogeneous medium

Мерсаид АриповNational University of Uzbekistan, Tashkent, UzbekistanMaftuha SayfullayevaTashkent University of Information Technologies named after Muhammad al-Khwarizmi, Tashkent, UzbekistanFiruza KabiljanovaNational University of Uzbekistan, Tashkent, UzbekistanMakhmud BobokandovNational University of Uzbekistan, Tashkent, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Annotatsiya

In this article, the conditions of spatial localization of the solution, global solvability of the problem depend on the value of numerical parameters and nonlinear absorption power, evaluation of solutions and fronts obtained. A critical case and a double critical case are considered. The following properties of solutions have been established: the effect of the finite speed of flash propagation and spatial localization of flash propagation. An exact solution has been found for some classes of coefficients.

Mavzular

Advanced Mathematical Physics Problems Nonlinear Photonic Systems Nonlinear Dynamics and Pattern Formation

Identifikatorlar

DOI: 10.1063/5.0194751

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