Mathematical models of COVID-19 spread

OI Krivorotko, SI Kabanikhin - arXiv preprint arXiv:2112.05315, 2021 - arxiv.org
The paper presents classification and analysis of the mathematical models of COVID-19
spread in different groups of populations such as the family, school, office (3-100 people) …

Comparative analysis of gradient methods for source identification in a diffusion-logistic model

TA Zvonareva, OI Krivorot'ko - Computational Mathematics and …, 2022 - Springer
The paper presents a comparative analysis of the numerical solution of the problem of
source identification in the diffusion-logistics model from the data on the diffusion process at …

О математическом моделировании COVID-19

ОИ Криворотько, СИ Кабанихин - Сибирские электронные …, 2023 - mathnet.ru
The mathematical models for analysis and forecasting of COVID-19 pandemic based on
time-series models, differential equations (SIR models based on odinary, partial and …

[HTML][HTML] Artificial intelligence for COVID-19 spread modeling

O Krivorotko, S Kabanikhin - Journal of Inverse and Ill-posed …, 2024 - degruyter.com
This paper presents classification and analysis of the mathematical models of the spread of
COVID-19 in different groups of population such as family, school, office (3–100 people) …

[HTML][HTML] On an inverse problem for a linearized system of Navier–Stokes equations with a final overdetermination condition

MT Jenaliyev, MA Bektemesov… - Journal of Inverse and Ill …, 2023 - degruyter.com
The theory of inverse problems is an actively studied area of modern differential equation
theory. This paper studies the solvability of the inverse problem for a linearized system of …

Numerical optimization identification of a Keller-Segel model for thermoregulation in honey bee colonies in winter

AZ Atanasov, MN Koleva, L Vulkov - International Conference on …, 2022 - Springer
The present work is inspired by laboratory experiments providing measurements in a few
places of the hive for a long period of time. Based on Keller-Segel model in form of coupled …

Gradient Optimization in Reconstruction of the Diffusion Coefficient in a Time Fractional Integro-Differential Equation of Pollution in Porous Media

T Gyulov, L Vulkov - … Conference on Modelling and Development of …, 2022 - Springer
An optimization Lagrange multiplier adjoint equation approach for an inverse problem of
estimating a space-dependent diffusion coefficient in a problem of pollution in a porous …

Numerical Solution of an Inverse Problem for a General Hyperbolic Heat Equation

G Akindinov, O Krivorotko, V Matyukhin - International Conference on …, 2023 - Springer
In this paper we describe an algorithm of numerical solving of an inverse problem on a
general case of a hyperbolic heat equation with additional second time derivative with a …

[PDF][PDF] ON A SPECTRAL PROBLEM FOR A BIHARMONIC OPERATOR IN A RECTANGULAR DOMAIN

M JENALIYEV, Y MADI - … VII Дүниежүзiлiк Конгресi (TWMS Congress-2023 … - academia.edu
The theory of the Navier-Stokes equations attracts unrelenting interest and attention not only
from theoreticians but also from applied scientists. As is known, these equations describe …

КОМПЬЮТЕРНЫЕ ИССЛЕДОВАНИЯ И МОДЕЛИРОВАНИЕ

ГД АКИНДИНОВ, ВВ МАТЮХИН… - КОМПЬЮТЕРНЫЕ …, 2023 - elibrary.ru
В данной работе приведен алгоритм численного решения обратной начально-краевой
задачи для гиперболического уравнения с малым параметром перед второй …