Results 51 to 60 of about 70,485 (205)

Poisson network SIR epidemic model

Afrika Matematika
Abstract We examine a popular extension of the classical Susceptible-Infected-Recovered (SIR) model within a network-based framework, where node degrees follow a Poisson distribution. First, we review the properties of this extension, its connection to the classical SIR model, and its relationship with the pairwise closure condition for ...
Josephine Wairimu, Andrew Gothard, Grzegorz Rempala   +2 more
openaire   +2 more sources

A SIR-UC EPIDEMIC MODEL: THE ANALYSIS OF SUSCEPTIBLE-INFECTED-REMOVED (SIR) EPIDEMIC MODEL WITH THE COVERAGE OF HEALTH INSURANCE (UNCOVERED AND COVERED INDIVIDUALS)

Barekeng
Susceptible-Infected-Removed (SIR) model is a widely used epidemic model that simulates the spread of infectious diseases within a population. It classifies individuals into susceptible, infected, and removed states, with the number of individuals in ...
Sutanto Sutanto, Dewi Retno Sari Saputro, Alexander Yonathan Christy, Aslina Baharum   +3 more
doaj   +1 more source

Second look at the spread of epidemics on networks

, 2007
In an important paper, M.E.J. Newman claimed that a general network-based stochastic Susceptible-Infectious-Removed (SIR) epidemic model is isomorphic to a bond percolation model, where the bonds are the edges of the contact network and the bond ...
Eben Kenah, H. Andersson, James M. Robins, M. E. J. Newman, M. E. J. Newman, O. Diekmann   +5 more
core   +1 more source

Modelling the spread of Covid19 in Italy using a revised version of the SIR model

, 2020
In this paper, we present a model to predict the spread of the Covid-19 epidemic and apply it to the specific case of Italy. We started from a simple Susceptible, Infected, Recovered (SIR) model and we added the condition that, after a certain time, the ...
Atzeni, Luigi Giuseppe, Cantatore, Nane, Cataldo, Maddalena, Croccolo, Fabrizio, Estrada, Nicolas, Nardelli, Vincenzo, Palladino, Andrea, Tombolini, Antonio   +7 more
core   +1 more source

On the Integrability of the SIR Epidemic Model with Vital Dynamics

Advances in Mathematical Physics, 2020
In this paper, we study the SIR epidemic model with vital dynamics Ṡ=−βSI+μN−S,İ=βSI−γ+μI,Ṙ=γI−μR, from the point of view of integrability. In the case of the death/birth rate μ=0, the SIR model is integrable, and we provide its general solutions by ...
Ding Chen
doaj   +1 more source

Inefficiency of SIR models in forecasting COVID-19 epidemic: a case study of Isfahan

Scientific Reports, 2021
The multifaceted destructions caused by COVID-19 have been compared to that of World War II. What makes the situation even more complicated is the ambiguity about the duration and ultimate spread of the pandemic.
Shiva Moein, Niloofar Nickaeen, Amir Roointan, Niloofar Borhani, Zarifeh Heidary, Shaghayegh Haghjooy Javanmard, Jafar Ghaisari, Yousof Gheisari   +7 more
doaj   +1 more source

Epidemic Thresholds with External Agents

, 2013
We study the effect of external infection sources on phase transitions in epidemic processes. In particular, we consider an epidemic spreading on a network via the SIS/SIR dynamics, which in addition is aided by external agents - sources unconstrained by
Banerjee, Siddhartha, Chatterjee, Avhishek, Shakkottai, Sanjay   +2 more
core   +1 more source

Optimal Control of Heterogeneous Mutating Viruses

Games, 2018
Different strains of influenza viruses spread in human populations during every epidemic season. As the size of an infected population increases, the virus can mutate itself and grow in strength.
Elena Gubar, Vladislav Taynitskiy, Quanyan Zhu   +2 more
doaj   +1 more source

A systematic framework of modelling epidemics on temporal networks

Applied Network Science, 2021
We present a modelling framework for the spreading of epidemics on temporal networks from which both the individual-based and pair-based models can be recovered.
Rory Humphries, Kieran Mulchrone, Jamie Tratalos, Simon J. More, Philipp Hövel   +4 more
doaj   +1 more source

Stochastic Modeling of a Measles Outbreak in Brazil

Trends in Computational and Applied Mathematics, 2023
Development of mathematical models and its numerical implementations are essential tools in epidemiological modeling. Susceptible-Infected-Recovered (SIR) compartmental model, proposed by Kermack and McKendrick, in 1927, is a widely used deterministic ...
M. Lau, Z. G. Arenas
doaj   +1 more source