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In the study of infectious diseases on networks, researchers calculate epidemic thresholds to help forecast whether a disease will eventually infect a large fraction of a population. Because network structure typically changes in time,…

Social and Information Networks · Computer Science 2021-08-11 Qinyi Chen , Mason A. Porter

We analyze the late-time relaxation dynamics for a general contagion model. In this model, nodes are either active or failed. Active nodes can fail either "spontaneously" at any time or "externally" if their neighborhoods are sufficiently…

Physics and Society · Physics 2020-12-18 Paul Richter , Malte Henkel , Lucas Böttcher

The ongoing COVID-19 pandemic is challenging every part of society. From a scientific point of view the first major task is to predict the dynamics of the pandemic, allowing governments to allocate proper resources and measures to fight it,…

Populations and Evolution · Quantitative Biology 2020-09-29 Heinrich Stolz , Dirk Semkat , Peter Grünwald

Some modified versions of susceptible-infected-recovered-susceptible (SIRS) model are defined on small-world networks. Latency, incubation and variable susceptibility are included, separately. Phase transitions in these models are studied.…

Statistical Mechanics · Physics 2016-08-31 H. N. Agiza , A. S. Elgazzar , S. A. Youssef

This study examines the interface of three elements during co-contagion diffusion: the \textbf{synergy} between contagions, the \textbf{dormancy} rate of each individual contagion, and the \textbf{multiplex network topology}. Dormancy is…

Social and Information Networks · Computer Science 2019-10-04 Ho-Chun Herbert Chang , Feng Fu

Phenomenological and deterministic models are often used for the estimation of transmission parameters in an epidemic and for the prediction of its growth trajectory. Such analyses are usually based on single peak outbreak dynamics. In…

Populations and Evolution · Quantitative Biology 2022-01-20 D. P. Mahapatra , S. Triambak

We study proliferation of an action in binary action network coordination games that are generalized to include global effects. This captures important aspects of proliferation of a particular action or narrative in online social networks,…

Theoretical Economics · Economics 2023-08-02 John Higgins , Tarun Sabarwal

Diseases and other contagion phenomena in nature and society can interact asymmetrically, such that one can benefit from the other, which in turn impairs the first, in analogy with predator-prey systems. Here, we consider two models for…

Physics and Society · Physics 2021-02-17 Paulo Cesar Ventura , Yamir Moreno , Francisco A. Rodrigues

The use of neural networks has been very successful in a wide variety of applications. However, it has recently been observed that it is difficult to generalize the performance of neural networks under the condition of distributional shift.…

Computational Finance · Quantitative Finance 2022-09-20 Dangxing Chen

Traditional biomedical approaches treat diseases in isolation, but the importance of synergistic disease interactions is now recognized. As a first step we present and analyze a simple coinfection model for two diseases affecting…

Dynamical Systems · Mathematics 2015-04-21 Marcos Marvá , Ezio Venturino , Rafael Bravo de la Parra

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The…

Physics and Society · Physics 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

Mathematical modeling of disease spreading plays a crucial role in understanding, controlling and preventing epidemic outbreaks. In a microscopic description of the propagation of a disease over the complex network of human contacts, the…

Physics and Society · Physics 2021-10-08 Federico Malizia , Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

The manner epidemics occurs in a social network depends on various elements, with two of the most influential being the relationships among individuals in the population and the mechanism of transmission. In this paper, we assume that the…

Dynamical Systems · Mathematics 2024-05-09 Francisco J. Muñoz , Luca Meacci , Juan Carlos Nuño , Mario Primicerio

The dynamics of many epidemic compartmental models for infectious diseases that spread in a single host population present a second-order phase transition. This transition occurs as a function of the infectivity parameter, from the absence…

Physics and Society · Physics 2023-01-02 Alex Arenas , Antonio Garijo , Sergio Gómez , Jordi Villadelprat

The non-equilibrium phase transition in models for epidemic spreading with long-range infections in combination with incubation times is investigated by field-theoretical and numerical methods. Here the spreading process is modelled by…

Statistical Mechanics · Physics 2007-05-23 Julian Adamek , Michael Keller , Arne Senftleben , Haye Hinrichsen

We investigate the full temporal evolution of epidemic outbreaks in complex networks, focusing on the susceptible-infected (SI) model of disease transmission. Combining theoretical analysis with large-scale numerical simulations, we uncover…

Physics and Society · Physics 2025-09-23 Mateusz J. Samsel , Agata Fronczak , Piotr Fronczak

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

Understanding the timing of the peak of a disease outbreak forms an important part of epidemic forecasting. In many cases, such information is essential for planning increased hospital bed demand and for designing of public health…

Populations and Evolution · Quantitative Biology 2023-11-27 Jacob Curran-Sebastian , Lorenzo Pellis , Ian Hall , Thomas House

Approximating the time to extinction of infection is an important problem in infection modelling. A variety of different approaches have been proposed in the literature. We study the performance of a number of such methods, and characterize…

Probability · Mathematics 2017-07-11 Damian Clancy , Elliott Tjia

We consider recurrent contagious processes on a time-varying network. As a control procedure to mitigate the epidemic, we propose an adaptive rewiring mechanism for temporary isolation of infected nodes upon their detection. As a case…

Physics and Society · Physics 2016-03-08 Vitaly Belik , Alexander Fengler , Florian Fiebig , Hartmut H. K. Lentz , Philipp Hövel