Determination of an optimal control strategy for vaccine administration in COVID-19 pandemic treatment
Background and objective For decades, mathematical models have been used to predict the
behavior of physical and biological systems, as well as to define strategies aiming at the …
behavior of physical and biological systems, as well as to define strategies aiming at the …
Analytical solution of the SIR-model for the temporal evolution of epidemics: Part B. Semi-time case
R Schlickeiser, M Kröger - Journal of Physics A: Mathematical …, 2021 - iopscience.iop.org
The earlier analytical analysis (part A) of the susceptible–infectious–recovered (SIR)
epidemics model for a constant ratio k of infection to recovery rates is extended here to the …
epidemics model for a constant ratio k of infection to recovery rates is extended here to the …
[HTML][HTML] Dynamics of COVID-19 using inverse problem for coefficient identification in SIR epidemic models
TT Marinov, RS Marinova - Chaos, Solitons & Fractals: X, 2020 - Elsevier
This work deals with the inverse problem in epidemiology based on a SIR model with time-
dependent infectivity and recovery rates, allowing for a better prediction of the long term …
dependent infectivity and recovery rates, allowing for a better prediction of the long term …
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation
In this manuscript, we develop a mathematical model to describe the spreading of an
epidemic disease in a human population. The emphasis in this work will be on the study of …
epidemic disease in a human population. The emphasis in this work will be on the study of …
[HTML][HTML] Inverse problem for adaptive SIR model: Application to COVID-19 in Latin America
TT Marinov, RS Marinova - Infectious Disease Modelling, 2022 - Elsevier
This work presents a method for solving an Adaptive Susceptible-Infected-Removed (A-SIR)
epidemic model with time-dependent transmission and removal rates. Available COVID-19 …
epidemic model with time-dependent transmission and removal rates. Available COVID-19 …
Mathematical model for the novel coronavirus (2019‐nCOV) with clinical data using fractional operator
Abstract Coronavirus infection (COVID‐19) is a considerably dangerous disease with a high
demise rate around the world. There is no known vaccination or medicine until our time …
demise rate around the world. There is no known vaccination or medicine until our time …
[HTML][HTML] Optimum study of fractional polio model with exponential decay kernel
This study introduces a fractional order model to investigate the dynamics of polio disease
spread, focusing on its significance, unique results, and conclusions. We emphasize the …
spread, focusing on its significance, unique results, and conclusions. We emphasize the …
Verification of the accuracy of the SIR model in forecasting based on the improved SIR model with a constant ratio of recovery to infection rate by comparing with …
M Kröger, R Schlickeiser - Royal Society Open Science, 2021 - royalsocietypublishing.org
The temporal evolution of second and subsequent waves of epidemics such as Covid-19 is
investigated. Analytic expressions for the peak time and asymptotic behaviours, early …
investigated. Analytic expressions for the peak time and asymptotic behaviours, early …
[HTML][HTML] Numerical analysis of a bi-modal COVID-19 sitr model
This study presents a structure preserving nonstandard finite difference scheme to analyze a
susceptible-infected-treatment-recovered (SITR) dynamical model of coronavirus 2019 …
susceptible-infected-treatment-recovered (SITR) dynamical model of coronavirus 2019 …
[PDF][PDF] Analysis of mobility based COVID-19 epidemic model using Federated Multitask Learning
Aggregating a massive amount of disease-related data from heterogeneous devices, a
distributed learning framework called Federated Learning (FL) is employed. But, FL suffers …
distributed learning framework called Federated Learning (FL) is employed. But, FL suffers …