A review of matrix SIR arino epidemic models

F Avram, R Adenane, DI Ketcheson - Mathematics, 2021 - mdpi.com
Many of the models used nowadays in mathematical epidemiology, in particular in COVID-
19 research, belong to a certain subclass of compartmental models whose classes may be …

An Age of Infection Kernel, an R Formula, and Further Results for Arino–Brauer A, B Matrix Epidemic Models with Varying Populations, Waning Immunity, and Disease …

F Avram, R Adenane, L Basnarkov, G Bianchin… - Mathematics, 2023 - mdpi.com
In this work, we first introduce a class of deterministic epidemic models with varying
populations inspired by Arino et al.(2007), the parameterization of two matrices …

Stability analysis of an eight parameter SIR-type model including loss of immunity, and disease and vaccination fatalities

F Avram, R Adenane, G Bianchin, A Halanay - Mathematics, 2022 - mdpi.com
We revisit here a landmark five-parameter SIR-type model, which is maybe the simplest
example where a complete picture of all cases, including non-trivial bistability behavior, may …

On matrix-SIR Arino models with linear birth rate, loss of immunity, disease and vaccination fatalities, and their approximations

F Avram, R Adenane, L Basnarkov, G Bianchin… - arXiv preprint arXiv …, 2021 - arxiv.org
In this work we study the stability properties of the equilibrium points of deterministic
epidemic models with nonconstant population size. Models with nonconstant population …

Reproducing country-wide COVID-19 dynamics can require the usage of a set of SIR systems

EB Postnikov - PeerJ, 2021 - peerj.com
This work shows that simple compartmental epidemiological models may not reproduce
actually reported country-wide statistics since the latter reflects the cumulative amount of …

Coefficient identification for SEIR model and economic forecasting in the propagation of COVID-19

SG Georgiev, LG Vulkov - Annual Meeting of the Bulgarian Section of …, 2020 - Springer
The outbreak of COVID-19 led the world to an extreme health and economic cataclysm. As
the epidemic stays the course, the researchers worldwide attempt to study its features and to …

Modeling of COVID-19 propagation with compartment models

G Bärwolff - Mathematische Semesterberichte, 2021 - Springer
The current pandemic is a great challenge for several research areas. In addition to virology
research, mathematical models and simulations can be a valuable contribution to the …

The susceptible–infected–recovered model as a tool to motivate and teach differential equations: an analytic approach

M Kang - International Journal of Mathematical Education in …, 2024 - Taylor & Francis
Since the introduction by Kermack and McKendrick in 1927, the Susceptible–Infected–
Recovered (SIR) epidemic model has been a foundational model to comprehend and …

Studying the course of Covid-19 by a recursive delay approach

M Kreck, E Scholz - arXiv preprint arXiv:2101.08660, 2021 - arxiv.org
In an earlier paper we proposed a recursive model for epidemics; in the present paper we
generalize this model to include the asymptomatic or unrecorded symptomatic people …

[PDF][PDF] New Covid Cases in India during Second Wave: Data Prediction using Probability Modelling

S Sivamani, A Nazar - Int. J. Adv. Res. Eng. Manage, 2021 - researchgate.net
In India, the first coronavirus disease (COVID) case was confirmed on 30/01/2020. During
the first wave, the number of new cases increase and become minimum of 9102 on …