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Understanding how the network topology affects the spread of an epidemic is a main concern in order to develop efficient immunization strategies. While there is a great deal of work dealing with the macroscopic topological properties of the…

Social and Information Networks · Computer Science 2023-01-02 Debayan Chakraborty , Anurag Singh , Hocine Cherifi

Designing effective strategies for controlling epidemic spread by vaccination is an important question in epidemiology, especially in the early stages when vaccines are limited. This is a challenging question when the contact network is…

Data Structures and Algorithms · Computer Science 2025-06-03 Dung Nguyen , Aravind Srinivasan , Renata Valieva , Anil Vullikanti , Jiayi Wu

We consider a SIR model with temporary immunity and time dependent transmission rate. We assume time dependent vaccination which confers the same immunity as natural infection. We study two types of vaccination strategies: i) optimal…

Populations and Evolution · Quantitative Biology 2016-04-06 Paulo Doutor , Paula Rodrigues , Maria do Céu Soares , Fabio A. C. C. Chalub

We consider the problem of distributing a vaccine for immunizing a scale-free network against a given virus or worm. We introduce a new method, based on vaccine dissemination, that seems to reflect more accurately what is expected to occur…

Networking and Internet Architecture · Computer Science 2007-05-23 Alexandre O. Stauffer , Valmir C. Barbosa

The decision of whether or not to vaccinate is a complex one. It involves the contribution both to a social good -- herd immunity -- and to one's own well being. It is informed by social influence, personal experience, education, and mass…

Populations and Evolution · Quantitative Biology 2022-02-15 Soya Miyoshi , Marko Jusup , Petter Holme

In this study, we present an immuno-epidemic model to understand mitigation options during an epidemic break. The model incorporates comorbidity and multiple-vaccine doses through a system of coupled integro-differential equations to…

Populations and Evolution · Quantitative Biology 2025-05-28 Samiran Ghosh , Malay Banerjee , Amit K Chattopadhyay

We investigate the spread of diseases, computer viruses or information on complex networks and also immunization strategies to prevent or control the spread. When an entire population cannot be immunized and the effect of immunization is…

Physics and Society · Physics 2011-04-14 Shinji Tanimoto

In this study, we explore the dynamic interplay between the timing of vaccination campaigns and the trajectory of disease spread in a population. Through comprehensive data analysis and modeling, we have uncovered a counter-intuitive…

Physics and Society · Physics 2024-12-06 Piergiorgio Castioni , Sergio Gòmez , Clara Granell , Alex Arenas

Effective vaccine prioritization is critical for epidemic control, yet real outbreaks exhibit memory effects that inflate state space and make long-term prediction and optimization challenging. As a result, many strategies are tuned to…

Biological Physics · Physics 2025-11-11 Mi Feng , Liang Tian , Changsong Zhou

In this paper, we investigate two major immunization strategies, random immunization and targeted immunization, of the susceptible-infected (SI) Model on the Barab\'{a}si-Albert (BA) networks. For the heterogenous structure, the random…

Biological Physics · Physics 2011-11-09 Wen-Jie Bai , Tao Zhou , Bing-Hong Wang

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an…

Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

One long-standing question in epidemiological research is how best to allocate limited amounts of vaccine or similar preventative measures in order to minimize the severity of an epidemic. Much of the literature on the problem of vaccine…

Social and Information Networks · Computer Science 2014-12-02 Krzysztof Drewniak , Joseph Helsing , Armin R. Mikler

Understanding dynamics of an infectious disease helps in designing appropriate strategies for containing its spread in a population. Recent mathematical models are aimed at studying dynamics of some specific types of infectious diseases. In…

Dynamical Systems · Mathematics 2015-02-05 P. Raja Sekhara Rao , M. Naresh Kumar

How to prevent the spread of human diseases is a great challenge for the scientific community and so far there are many studies in which immunization strategies have been developed. However, these kind of strategies usually do not consider…

Physics and Society · Physics 2018-08-22 M. A. Di Muro , L. G. Alvarez-Zuzek , S. Havlin , L. A. Braunstein

Background: Network-based interventions are most powerful against epidemics when the full network structure is known. However, resource constraints often require decisions based on partial network data. We investigated how the effectiveness…

Populations and Evolution · Quantitative Biology 2018-03-30 Yingrui Yang , Ashley McKhann , Guy Harling , Jukka-Pekka Onnela

In this paper, we investigate game-theoretic strategies for containing spreading processes on large-scale networks. Specifically, we consider the class of networked susceptible-infected-susceptible (SIS) epidemics where a large population…

Systems and Control · Electrical Eng. & Systems 2024-07-04 Abhisek Satapathi , Ashish R. Hota

Several recent studies have tackled the issue of optimal network immunization by providing efficient criteria to identify key nodes to be removed in order to break apart a network, thus preventing the occurrence of extensive epidemic…

Physics and Society · Physics 2018-02-22 Giovanni Strona , Claudio Castellano

A new method (`explosive immunization' (EI)) is proposed for immunization and targeted destruction of networks. It combines the explosive percolation (EP) paradigm with the idea of maintaining a fragmented distribution of clusters. The…

Physics and Society · Physics 2016-11-16 Pau Clusella , Peter Grassberger , Francisco J. Perez-Reche , Antonio Politi

Since early 2020, the world has been dealing with a raging pandemic outbreak: COVID-19. A year later, vaccines have become accessible, but in limited quantities, so that governments needed to devise a strategy to decide which part of the…

Populations and Evolution · Quantitative Biology 2022-04-13 Sander Tonkens , Paul de Klaver , Mauro Salazar