Computational applications of extended SIR models: A review focused on airborne pandemics

T Lazebnik - Ecological Modelling, 2023 - Elsevier
Epidemiological-Mathematical models are powerful tools for estimating the course of a
pandemic and exploring different scenarios through pandemic intervention policies (PIPs) …

Merits and limitations of mathematical modeling and computational simulations in mitigation of COVID-19 pandemic: A comprehensive review

A Afzal, CA Saleel, S Bhattacharyya, N Satish… - … Methods in Engineering, 2022 - Springer
Mathematical models have assisted in describing the transmission and propagation
dynamics of various viral diseases like MERS, measles, SARS, and Influenza; while the …

Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model

S Allegretti, IM Bulai, R Marino… - Mathematical …, 2021 - dergipark.org.tr
In this paper, we consider a modified SIR (susceptible-infected-recovered/removed) model
that describes the evolution in time of the infectious disease caused by Sars-Cov-2 (Severe …

New perspective on the conventional solutions of the nonlinear time‐fractional partial differential equations

H Ahmad, A Akgül, TA Khan, PS Stanimirović… - …, 2020 - Wiley Online Library
The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

Diffusion–reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study

A Viguerie, A Veneziani, G Lorenzo, D Baroli… - Computational …, 2020 - Springer
The outbreak of COVID-19 in 2020 has led to a surge in interest in the research of the
mathematical modeling of epidemics. Many of the introduced models are so-called …

Machine learning and OLAP on big COVID-19 data

CK Leung, Y Chen, CSH Hoi, S Shang… - … Conference on Big …, 2020 - ieeexplore.ieee.org
In the current technological era, huge amounts of big data are generated and collected from
a wide variety of rich data sources. These big data can be of different levels of veracity in the …

Learning the dynamics of physical systems from sparse observations with finite element networks

M Lienen, S Günnemann - arxiv preprint arxiv:2203.08852, 2022 - arxiv.org
We propose a new method for spatio-temporal forecasting on arbitrarily distributed points.
Assuming that the observed system follows an unknown partial differential equation, we …

[HTML][HTML] Epi-DNNs: Epidemiological priors informed deep neural networks for modeling COVID-19 dynamics

X Ning, L Jia, Y Wei, XA Li, F Chen - Computers in biology and medicine, 2023 - Elsevier
Differential equations-based epidemic compartmental models and deep neural networks-
based artificial intelligence (AI) models are powerful tools for analyzing and fighting the …

SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: A meshless algorithm for the fractional diffusion equation

O Bavi, M Hosseininia, MH Heydari, N Bavi - Engineering analysis with …, 2022 - Elsevier
The epidemiological aspects of the viral dynamic of the SARS-CoV-2 have become
increasingly crucial due to major questions and uncertainties around the unaddressed …

Multi-regional COVID-19 epidemic forecast in Sweden

Y **ng, O Gaidai - Digital health, 2023 - journals.sagepub.com
The novel coronavirus disease 2019 (COVID-19) is a contagious disease with high
transmissibility to spread worldwide, reported to present a certain burden on worldwide …