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 …
19 research, belong to a certain subclass of compartmental models whose classes may be …
On matrix-SIR Arino models with linear birth rate, loss of immunity, disease and vaccination fatalities, and their approximations
In this work we study the stability properties of the equilibrium points of deterministic
epidemic models with nonconstant population size. Models with nonconstant population …
epidemic models with nonconstant population size. Models with nonconstant population …
On an Sir Epidemic Model for the COVID‐19 Pandemic and the Logistic Equation
M De la Sen, A Ibeas - Discrete Dynamics in Nature and …, 2020 - Wiley Online Library
The main objective of this paper is to describe and interpret an SIR (Susceptible‐Infectious‐
Recovered) epidemic model though a logistic equation, which is parameterized by a …
Recovered) epidemic model though a logistic equation, which is parameterized by a …
Next-generation matrices and basic reproductive numbers for all phases of the Coronavirus disease
During the early phase of COVID-19, the transmissibility of the coronavirus disease was
estimated using the classical SIR and SEIR models. However, with the advent of some …
estimated using the classical SIR and SEIR models. However, with the advent of some …
Transition probabilities for generalized SIR epidemic model
H El Maroufy, L Omari, Z Taib - Stochastic models, 2012 - Taylor & Francis
Gani and Purdue outlined a matrix-geometric method for determining the total size
distribution of an epidemic in a recursive manner. In this article, we explore how this method …
distribution of an epidemic in a recursive manner. In this article, we explore how this method …
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 …
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 …
populations inspired by Arino et al.(2007), the parameterization of two matrices …
Mathematical modeling applied to epidemics: an overview
AS Mata, SMP Dourado - Sao Paulo Journal of Mathematical Sciences, 2021 - Springer
This work presents an overview of the evolution of mathematical modeling applied to the
context of epidemics and the advances in modeling in epidemiological studies. In fact …
context of epidemics and the advances in modeling in epidemiological studies. In fact …
A two-stage model for the SIR outbreak: Accounting for the discrete and stochastic nature of the epidemic at the initial contamination stage
I Sazonov, M Kelbert, MB Gravenor - Mathematical biosciences, 2011 - Elsevier
The evolution of an infectious disease outbreak in an isolated population is split into two
stages: a stochastic Markov process describing the initial contamination and a linked …
stages: a stochastic Markov process describing the initial contamination and a linked …
General SIR model and its exact solution
I Nesteruk, I Nesteruk - COVID-19 Pandemic Dynamics: Mathematical …, 2021 - Springer
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SIR epidemics with stochastic infectious periods
M Simon - Stochastic Processes and their Applications, 2020 - Elsevier
We consider an SIR model for the spread of an epidemic in a closed and homogeneously
mixing population, where the infectious periods are represented by an arbitrary absorbing …
mixing population, where the infectious periods are represented by an arbitrary absorbing …