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Disease spreading models such as the ubiquitous SIS compartmental model and its numerous variants are widely used to understand and predict the behaviour of a given epidemic or information diffusion process. A common approach to imbue more…

Dynamical Systems · Mathematics 2025-11-18 Eugene Tan , Michael Small , Shannon D. Algar

We study the class of SIS epidemics on temporal networks and propose a new activity-driven and adaptive epidemic model that captures the impact of asymptomatic and infectious individuals in the network. In the proposed model, referred to as…

Physics and Society · Physics 2020-08-04 Ashish R. Hota , Kavish Gupta

Recently there has been an increasing interest in studying dynamical processes on networks exhibiting higher-order structures, such as simplicial complexes, where the dynamics acts above and beyond dyadic interactions. Using simulations or…

Physics and Society · Physics 2023-09-25 István Z. Kiss , Iacopo Iacopini , Péter L. Simon , Nicos Georgiou

In network epidemic models, controlling the spread of a disease often requires targeted interventions such as vaccinating high-risk individuals based on network structure. However, typical approaches assume complete knowledge of the…

Statistics Theory · Mathematics 2026-02-16 Anirudh Sridhar , Arnob Ghosh

Even though transitivity is a central structural feature of social networks, its influence on epidemic spread on coevolving networks has remained relatively unexplored. Here we introduce and study an adaptive SIS epidemic model wherein the…

Physics and Society · Physics 2019-06-12 Hsuan-Wei Lee , Nishant Malik , Feng Shi , Peter J. Mucha

Understanding the spread of diseases through complex networks is of great interest where realistic, heterogeneous contact patterns play a crucial role in the spread. Most works have focused on mean-field behavior -- quantifying how contact…

Statistical Mechanics · Physics 2022-12-14 Elad Korngut , Jason Hindes , Michael Assaf

We present a quenched mean-field (QMF) theory for the dynamics of the susceptible-infected-susceptible (SIS) epidemic model on complex networks where dynamical correlations between connected vertices are taken into account by means of a…

Biological Physics · Physics 2013-09-11 Angélica S. Mata , Silvio C. Ferreira

The nodes in communication networks are possibly and most likely equipped with different recovery resources, which allow them to recover from a virus with different rates. In this paper, we aim to understand know how to allocate the limited…

Physics and Society · Physics 2014-09-01 Bo Qu , Alan Hanjalic , Huijuan Wang

The propagation of information in social, biological and technological systems represents a crucial component in their dynamic behavior. When limited to pairwise interactions, a rather firm grip is available on the relevant parameters and…

Physics and Society · Physics 2021-09-15 Z. Li , Z. Deng , Z. Han , K. Alfaro-Bittner , B. Barzel , S. Boccaletti

The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs.…

Physics and Society · Physics 2019-04-03 Sergei N. Taraskin , Francisco J. Pérez-Reche

We investigate the expected time to extinction in the susceptible-infectious-susceptible (SIS) model of disease spreading. Rather than using stochastic simulations, or asymptotic calculations in network models, we solve the extinction time…

Populations and Evolution · Quantitative Biology 2018-12-26 Petter Holme , Liubov Tupikina

We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

Physics and Society · Physics 2013-07-23 Wojciech Ganczarek

The spread of an infectious disease can, in some cases, promote the propagation of other pathogens favouring violent outbreaks, which cause a discontinuous transition to an endemic state. The topology of the contact network plays a crucial…

Physics and Society · Physics 2018-03-21 Peng-Bi Cui , Francesca Colaiori , Claudio Castellano

We study the stability properties of a susceptible-infected-susceptible (SIS) diffusion model, so-called the $n$-intertwined Markov model, over arbitrary directed network topologies. As in the majority of the work on infection spread…

Systems and Control · Computer Science 2015-02-23 Ali Khanafer , Tamer Başar , Bahman Gharesifard

Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing data using the available information. This versatile approach…

This paper is focused on SIS (Susceptible-Infected-Susceptible) epidemic dynamics (also known as the contact process) on populations modelled by homogeneous Poisson point processes of the Euclidean plane, where the infection rate of a…

Probability · Mathematics 2021-08-19 François Baccelli , Nithin Ramesan

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha

Complex networks with pairwise connections have been vastly used for the modeling of interactions within systems. Although these type of models are capable to capture rich structures and different phases within a great variety of…

Statistical Mechanics · Physics 2022-09-14 Gerardo Palafox-Castillo , Arturo Berrones-Santos

Interactions in biology and social systems are not restricted to pairwise but can take arbitrary sizes. Extensive studies have revealed that the arbitrary-sized interactions significantly affect the spreading dynamics on networked systems.…

Physics and Society · Physics 2021-05-19 Wenyao Li , Xiaoyu Xue , Liming Pan , Tao Lin , Wei Wang

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno