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Bipartite networks are composed of two types of nodes and there are no links between nodes of the same type. Thus the study of epidemic spread and control on such networks is relevant to sexually transmitted diseases (STDs). When entire…

Physics and Society · Physics 2011-05-18 Shinji Tanimoto

Recent Covid-19 pandemic has demonstrated the need of efficient epidemic outbreak management. We study the optimal control problem of minimizing the fraction of infected population by applying vaccination and treatment control strategies,…

Social and Information Networks · Computer Science 2021-12-07 Jagtap Kalyani Devendra , Kundan Kandhway

Information dissemination intricately intertwines with the dynamics of infectious diseases in the contemporary interconnected world. Recognizing the critical role of public awareness, individual vaccination choices appear to be an essential…

Physics and Society · Physics 2024-10-30 Viney Kumar , Chris T Bauch , Samit Bhattacharyya

In a world being hit by waves of COVID-19, vaccination is a light on the horizon. However, the roll-out of vaccination strategies and their influence on the pandemic are still open problems. In order to compare the effect of various…

Physics and Society · Physics 2021-04-23 N. L. Barreiro , C. I. Ventura , T. Govezensky , M. Núñez , P. G. Bolcatto , R. A. Barrio

We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the epidemic prevalence is virtually instantaneous in all…

Disordered Systems and Neural Networks · Physics 2007-05-23 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

We study the impact of vaccination on the risk of epidemics spreading through structured networks using the cavity method of statistical physics. We relax the assumption that vaccination prevents all transmission of a disease used in…

Physics and Society · Physics 2022-03-23 Christian John Hurry , Alexander Mozeika , Alessia Annibale

Waning immunity and reinfection are critical features of many infectious diseases, but epidemiological models often fail to capture the intricate interaction between an individual's history of immunity and their current infection status;…

Populations and Evolution · Quantitative Biology 2026-03-25 Raimund M. Kovacevic , Nikolaos I. Stilianakis , Vladimir M. Veliov

Vaccination is an important measure available for preventing or reducing the spread of infectious diseases. In this paper, an epidemic model including susceptible, infected, and imperfectly vaccinated compartments is studied on…

Physics and Society · Physics 2015-06-15 Xiao-Long Peng , Xin-Jian Xu , Xinchu Fu , Tao Zhou

Immunizing a subset of nodes in a network - enabling them to identify and withstand the spread of harmful content - is one of the most effective ways to counter the spread of malicious content. It has applications in network security,…

Social and Information Networks · Computer Science 2019-12-30 Muhammad Ahmad , Sarwan Ali , Juvaria Tariq , Imdadullah Khan , Mudassir Shabbir , Arif Zaman

During epidemics people may reduce their social and economic activity to lower their risk of infection. Such social distancing strategies will depend on information about the course of the epidemic but also on when they expect the epidemic…

Theoretical Economics · Economics 2024-04-08 Simon K. Schnyder , John J. Molina , Ryoichi Yamamoto , Matthew S. Turner

This study presents a mathematical model for optimal vaccination strategies in interconnected metropolitan areas, considering commuting patterns. It is a compartmental model with a vaccination rate for each city, acting as a control…

Populations and Evolution · Quantitative Biology 2024-04-29 Lucas Machado Moschen , María Soledad Aronna

Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand disease…

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

In this paper we consider SIR epidemics on random graphs with clustering. To incorporate group structure of the underlying social network, we use a generalized version of the configuration model in which each node is a member of a specified…

Probability · Mathematics 2018-02-15 Carolina Fransson , Pieter Trapman

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

Populations and Evolution · Quantitative Biology 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

Mitigation measures are essential for controlling the spread of infectious diseases during pandemics and epidemics, but they impose considerable societal, individual, and economic costs. We developed a general optimization framework to…

Populations and Evolution · Quantitative Biology 2025-12-15 Laura Müller , Fabio Sartori , Jonas Dehning , Maximilian F. Eggl , Viola Priesemann

A new age-distributed immuno-epidemiological model with information-based vaccine uptake suggested in this work represents a system of integro-differential equations for the numbers of susceptible individuals, infected individuals,…

Populations and Evolution · Quantitative Biology 2024-04-02 Samiran Ghosh , Malay Banerjee , Vitaly Volpert

We study vaccine control for disease spread on an adaptive network modeling disease avoidance behavior. Control is implemented by adding Poisson distributed vaccination of susceptibles. We show that vaccine control is much more effective in…

Populations and Evolution · Quantitative Biology 2015-05-13 Leah B. Shaw , Ira B. Schwartz

In social networks, control of rumor spread is an active area of research. SIR model is generally used to study the rumor dynamics in network while considering the rumor as an epidemic. In disease spreading model, epidemic is controlled by…

Social and Information Networks · Computer Science 2015-09-29 Anoop Mehta , Ruchir Gupta

Vaccination has been proven to be the most effective method to prevent infectious diseases. However, in many low and middle-income countries with geographically dispersed and nomadic populations, last-mile vaccine delivery can be extremely…

Applications · Statistics 2021-04-30 Yuwen Yang , Jayant Rajgopal