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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

Human behavior plays a critical role in shaping epidemic trajectories. During health crises, people respond in diverse ways in terms of self-protection and adherence to recommended measures, largely reflecting differences in how individuals…

Physics and Society · Physics 2026-01-30 Fabio Mazza , Gabriele Ricci , Francesca Colaiori , Stefano Guarino , Sandro Meloni , Fabio Saracco

We propose a mathematical model to study coupled epidemic and opinion dynamics in a network of communities. Our model captures SIS epidemic dynamics whose evolution is dependent on the opinions of the communities toward the epidemic, and…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Ji Liu , Shreyas Sundaram , Philip E. Paré

People's cooperation in adopting protective measures is effective in epidemic control and creates herd immunity as a public good. Similarly, the presence of an epidemic is a driving factor for the formation and improvement of cooperation.…

Physics and Society · Physics 2025-06-03 Mehran Noori , Nahid Azimi-Tafreshi , Mohammad Salahshour

In this paper, we study the dynamics of epidemic processes taking place in adaptive networks of arbitrary topology. We focus our study on the adaptive susceptible-infected-susceptible (ASIS) model, where healthy individuals are allowed to…

Social and Information Networks · Computer Science 2016-06-29 Masaki Ogura , Victor M. Preciado

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

We study two simple mathematical models of the epidemic. At first, we study the repetitive infection spreading in a simplified SIRS model including the effect of the decay of the acquired immune. The model is an intermediate model of the…

Populations and Evolution · Quantitative Biology 2024-03-13 Hidetsugu Sakaguchi , Keito Yamasaki

We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model in which the decisions of a population of strategically interacting agents determine the transmission rate. Specifically, the…

Dynamical Systems · Mathematics 2022-01-26 Nuno C. Martins , Jair Certorio , Richard J. La

We study a symmetric two-disease SIR co-infection model on networks in which co-infected individuals recover at a rate distinct from that of single infections. The model explicitly represents all co-infection states and features absorbing…

Statistical Mechanics · Physics 2025-12-22 Gerardo Palafox-Castillo , Ericka Fabiola Vázquez-Alcalá , Arturo Berrones-Santos

This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of…

Populations and Evolution · Quantitative Biology 2025-09-17 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

We study the propagation of an SIR (susceptible-infectious-recovered) disease over an agent population which, at any instant, is fully divided into couples of agents. Couples are occasionally allowed to exchange their members. This process…

Biological Physics · Physics 2011-04-21 Damián H. Zanette

In this paper, we analyze the infection spreading dynamics of malware in a population of cyber nodes (i.e., computers or devices). Unlike most prior studies where nodes are reactive to infections, in our setting some nodes are active…

Systems and Control · Electrical Eng. & Systems 2023-05-25 Keith Paarporn , Shouhuai Xu

By incorporating segregated spatial domain and individual-based linkage into the SIS (susceptible-infected-susceptible) model, we investigate the coupled effects of random walk and intragroup interaction on contagion. Compared with the…

Physics and Society · Physics 2015-05-05 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Tian Qiu , Chen-Yang Zhong

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

In this paper, we propose and analyze a reaction-diffusion susceptible-infected-susceptible (SIS) epidemic patch model. The individuals are assumed to reside in different patches, where they are able to move inside and among the patches.…

Populations and Evolution · Quantitative Biology 2023-01-18 Shanshan Chen , Yixiang Wu

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

An actively controlled Susceptible-Infected-Susceptible (actSIS) contagion model is presented for studying epidemic dynamics with continuous-time feedback control of infection rates. Our work is inspired by the observation that epidemics…

Physics and Society · Physics 2020-07-06 Yunxiu Zhou , Simon A. Levin , Naomi E. Leonard

We analyze two alterations of the standard susceptible-infected-susceptible (SIS) dynamics that preserve the central properties of spontaneous healing and infection capacity of a vertex increasing unlimitedly with its degree. All models…

Physics and Society · Physics 2018-07-19 Wesley Cota , Angélica S. Mata , Silvio C. Ferreira

This paper studies novel epidemic spreading problems influenced by opinion evolution in social networks, where the opinions reflect the public health concerns. A coupled bilayer network is proposed, where the epidemics spread over several…

Physics and Society · Physics 2024-01-10 Qiulin Xu , Hideaki Ishii

In contrast to the common assumption in epidemic models that the rate of infection between individuals is constant, in reality, an individual's viral load determines their infectiousness. We compare the average and individual reproductive…

Populations and Evolution · Quantitative Biology 2021-12-07 Nicholas Landry