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We consider the dynamics of a virus spreading through a population that produces a mutant strain with the ability to infect individuals that were infected with the established strain. Temporary cross-immunity is included using a time delay,…

Populations and Evolution · Quantitative Biology 2023-02-16 Bruce Pell , Samantha Brozak , Tin Phan , Fuqing Wu , Yang Kuang

The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to…

Dynamical Systems · Mathematics 2021-07-26 Hannah Scanlon , John Gemmer

We consider the spread of epidemics in technological and social networks. How do people react? Does awareness and cautious behavior help? We analyze these questions and present a dynamic model to describe the movement of individuals and/or…

Social and Information Networks · Computer Science 2015-03-19 Robert Elsässer , Adrian Ogierman

We investigate the containment of epidemic spreading in networks from a normative point of view. We consider a susceptible/infected model in which agents can invest in order to reduce the contagiousness of network links. In this setting, we…

Theoretical Economics · Economics 2020-07-16 Geraldine Bouveret , Antoine Mandel

I study the spreading of infectious diseases on heterogeneous populations. I represent the population structure by a contact-graph where vertices represent agents and edges represent disease transmission channels among them. The population…

Populations and Evolution · Quantitative Biology 2009-11-13 Alexei Vazquez

Although there is always an interplay between the dynamics of information diffusion and disease spreading, the empirical research on the systemic coevolution mechanisms connecting these two spreading dynamics is still lacking. Here we…

Physics and Society · Physics 2016-07-07 Wei Wang , Quan-Hui Liu , Shi-Min Cai , Ming Tang , Lidia A. Braunstein , H. Eugene Stanley

A problem closely related to epidemiology, where a subgraph of 'infected' links is defined inside a larger network, is investigated. This subgraph is generated from the underlying network by a random variable, which decides whether a link…

Physics and Society · Physics 2016-04-07 M Cotacallapa , M O Hase

Models of spread processes over non-trivial networks are commonly motivated by modeling and analysis of biological networks, computer networks, and human contact networks. However, identification of such models has not yet been explored in…

Optimization and Control · Mathematics 2020-01-27 Philip E. Pare , Ji Liu , Carolyn L. Beck , Barret E. Kirwan , Tamer Basar

We investigate the spread of an infection or other malfunction of cascading nature when a system component can recover only if it remains reachable from a functioning central component. We consider the susceptible-infected-susceptible…

Physics and Society · Physics 2016-04-27 L. Böttcher , O. Woolley-Meza , E. Goles , D. Helbing , H. J. Herrmann

Cooperation and competition between pathogens can alter the amount of individuals affected by a co-infection. Nonetheless, the evolution of the pathogens' behavior has been overlooked. Here, we consider a co-evolutionary model where the…

Populations and Evolution · Quantitative Biology 2022-03-23 Fakhteh Ghanbarnejad , Kai Seegers , Alessio Cardillo , Philipp Hövel

This paper deals with the spread of diseases over both a population network and an infrastructure network. We develop a layered networked spread model for a susceptible-infected-susceptible (SIS) pathogen-borne disease spreading over a…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Philip E. Pare , Axel Janson , Sebin Gracy , Ji Liu , Henrik Sandberg , Karl H. Johansson

A fundamental problem in network science is to predict how certain individuals are able to initiate new networks to spring up "new ideas". Frequently, these changes in trends are triggered by a few innovators who rapidly impose their ideas…

Physics and Society · Physics 2014-05-28 Yanqing Hu , Shlomo Havlin , Hernán A. Makse

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

Quantitative Methods · Quantitative Biology 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

This paper is concerned with the design of intermittent non-pharmaceutical strategies to mitigate the spread of the COVID-19 epidemic exploiting network epidemiological models. Specifically, by studying a variational equation for the…

Populations and Evolution · Quantitative Biology 2022-04-14 Marco Coraggio , Shihao Xie , Francesco De Lellis , Giovanni Russo , Mario di Bernardo

Epidemic spreading processes on dynamic multiplex networks provide a more accurate description of natural spreading processes than those on single layered networks. To describe the influence of different individuals in the awareness layer…

Social and Information Networks · Computer Science 2025-11-25 Minyu Feng , Xiangxi Li , Yuhan Li , Qin Li

We consider the qualitative behavior of a mathematical model for transmission dynamics with two nonlinear stages of contagion. The proposed model is inspired by phenomena occurring in epidemiology (spread of infectious diseases) or social…

Dynamical Systems · Mathematics 2021-05-04 Julian Heidecke , Maria Vittoria Barbarossa

We study the problem of containing epidemic spreading processes in temporal networks. We specifically focus on the problem of finding a resource allocation to suppress epidemic infection, provided that an empirical time-series data of…

Social and Information Networks · Computer Science 2019-04-16 Masaki Ogura , Junichi Harada

Individuals involved in common group activities/settings -- e.g., college students that are enrolled in the same class and/or live in the same dorm -- are exposed to recurrent contacts of physical proximity. These contacts are known to…

Physics and Society · Physics 2024-10-22 Siddharth Patwardhan , Varun K. Rao , Santo Fortunato , Filippo Radicchi

We perform a bifurcation analysis on an SIR model involving two pathogens that influences each other. Partial cross-immunity is assumed and coinfection is thought to be less transmittable then each of the diseases alone. The susceptible…

Dynamical Systems · Mathematics 2022-09-09 J. Andersson , V. Kozlov , V. G. Tkachev , U. Wennergren

The complex interplay between population movements in space and non-homogeneous mixing patterns have so far hindered the fundamental understanding of the conditions for spatial invasion through a general theoretical framework. To address…

Physics and Society · Physics 2014-01-21 Andrea Apolloni , Chiara Poletto , Jose' J. Ramasco , Pablo Jensen , Vittoria Colizza
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