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To contain the propagation of emerging diseases that are transmissible from human to human, non-pharmaceutical interventions (NPIs) aimed at reducing the interactions between humans are usually implemented. One example of the latter kind of…

Physics and Society · Physics 2021-05-21 Paulo Cesar Ventura , Alberto Aleta , Francisco Aparecido Rodrigues , Yamir Moreno

Knowing the true effect size of clinical interventions in randomised clinical trials is key to informing the public health policies. Vaccine efficacy is defined in terms of the relative risk or the ratio of two disease risks. However, only…

Methodology · Statistics 2021-02-03 Yasin Memari

In this paper we consider epidemic models of directly transmissible SIR (susceptible $\to$ infective $\to$ recovered) and SEIR (with an additional latent class) infections in fully-susceptible populations with a social structure, consisting…

Populations and Evolution · Quantitative Biology 2015-12-11 Frank Ball , Lorenzo Pellis , Pieter Trapman

This study investigates the influence of different types of non-pharmaceutical interventions (NPIs) on epidemic progression using SIR compartmental models. We analyze the optimization of two distinct targets: the final epidemic size and the…

Populations and Evolution · Quantitative Biology 2026-04-10 Eric Rozán , Marcelo N Kuperman , Sebastián Bouzat

This paper utilizes a stochastic Susceptible-Infected-recovered (SIR) model with a non-linear incidence rate to perform a detailed mathematical study of optimal lock-down intensity and vaccination rate under the COVID-19 pandemic…

Optimization and Control · Mathematics 2022-09-29 Paramahansa Pramanik

Defining and identifying causal intervention effects for transmissible infectious disease outcomes is challenging because a treatment -- such as a vaccine -- given to one individual may affect the infection outcomes of others.…

Applications · Statistics 2019-12-11 Xiaoxuan Cai , Wen Wei Loh , Forrest W. Crawford

We present two models for the COVID-19 pandemic predicting the impact of universal face mask wearing upon the spread of the SARS-CoV-2 virus--one employing a stochastic dynamic network based compartmental SEIR…

Physics and Society · Physics 2020-04-29 De Kai , Guy-Philippe Goldstein , Alexey Morgunov , Vishal Nangalia , Anna Rotkirch

Despite many studies on the transmission mechanism of the Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), it remains still challenging to efficiently reduce mortality. In this work, we apply a two-population…

Physics and Society · Physics 2021-09-14 Long Ma , Maksim Kitsak , Piet Van Mieghem

We investigated the negative relationship between mortality and COVID-19 vaccination at ecological level, which has been established through clinical trials and other investigations at the individual level. We conducted an exploratory,…

Quantitative Methods · Quantitative Biology 2022-07-26 Cosima Rughinis , Mihai Dima , Simona-Nicoleta Vulpe , Razvan Rughinis , Sorina Vasile

Non-pharmaceutical interventions (NPIs) such as quarantine, self-isolation, social distancing, and virus-contact tracing can greatly reduce the spread of the virus during a pandemic. In the wave of the COVID-19 pandemic, many countries have…

Physics and Society · Physics 2020-12-16 Jingjing He , Xuefei Guan , Xiaochang Duan , Tian Shen , Jing Lin

Individual contributions to the spread of an epidemic vary widely due to an individual's location in a social network and their intrinsic ability to spread or contract diseases. While the effect of heterogeneous population structure and…

Populations and Evolution · Quantitative Biology 2026-05-14 Abhay Gupta , Nicholas W. Landry

Finding optimal policies to reduce the morbidity and mortality of the ongoing pandemic is a top public health priority. Using a compartmental model with age structure and vaccination status, we examined the effect of age specific scheduling…

Populations and Evolution · Quantitative Biology 2012-02-29 Diána Knipl , Gergely Röst

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

Optimization and Control · Mathematics 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

The outbreak of mutant strains and vaccination behaviors have been the focus of recent epidemiological research, but most existing epidemic models failed to simultaneously capture viral mutation and consider the complexity and behavioral…

Populations and Evolution · Quantitative Biology 2026-01-16 Wenjie Zhang , Yusheng Li , Qin Li , Guojun Huang , Minyu Feng

The rapid development of vaccines to combat the spread of COVID-19 disease caused by the SARS-CoV-2 virus is a great scientific achievement. Before the development of the COVID-19 vaccines, most studies capitalized on the available data…

Early on during a pandemic, vaccine availability is limited, requiring prioritisation of different population groups. Evaluating vaccine allocation is therefore a crucial element of pandemics response. In the present work, we develop a…

Massive vaccination against pandemics such as Coronavirus SARS-CoV-2 presents several complexities. The criteria to assess public health policies are fundamental to distribute vaccines in an effective way in order to avoid as many…

Optimization and Control · Mathematics 2023-12-01 José Luis Sainz-Pardo , José Valero

We consider a susceptible, infected, and recovered infectious disease model which incorporates a vaccination rate. In particular, we study the problem of choosing the vaccination rate in order to reduce the number of infected individuals to…

Analysis of PDEs · Mathematics 2021-08-30 Ryan Hynd , Dennis Ikpe , Terrance Pendleton

Memory has a great impact on the evolution of every process related to human societies. Among them, the evolution of an epidemic is directly related to the individuals' experiences. Indeed, any real epidemic process is clearly sustained by…

Physics and Society · Physics 2017-03-10 M. Saeedian , M. Khalighi , N. Azimi-Tafreshi , G. R. Jafari , M. Ausloos

We propose a multi-layer network model for the spread of COVID-19 that accounts for interactions within the family, between schoolmates, and casual contacts in the population. We utilize the proposed model-calibrated on epidemiological and…

Physics and Society · Physics 2021-03-24 Christian Bongiorno , Lorenzo Zino