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Related papers: Spatial-SIR with Network Structure and Behavior: L…

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When a new infectious disease (or a new strain of an existing one) emerges, as in the recent COVID-19 pandemic, different types of mobility restrictions are considered to slow down or mitigate the spread of the disease. The measures to be…

Physics and Society · Physics 2026-04-21 Jõao Gabriel Simões Delboni , Gabriel Fabricius

In this paper, we are concerned with an epidemic reaction-diffusion system with nonlinear incidence mechanism of the form $S^qI^p\,(p,\,q>0)$. The coefficients of the system are spatially heterogeneous and time dependent (particularly time…

Analysis of PDEs · Mathematics 2021-06-15 Rui Peng , Yixiang Wu

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

The structure of social contact networks strongly influences the dynamics of epidemic diseases. In particular the scale-free structure of real-world social networks allows unlikely diseases with low infection rates to spread and become…

Physics and Society · Physics 2012-09-13 Güven Demirel , Thilo Gross

Host mobility plays a fundamental role in the spatial spread of infectious diseases. Previous theoretical works based on the integration of network theory into the metapopulation framework have shown that the heterogeneities that…

Physics and Society · Physics 2013-09-26 Chiara Poletto , Michele Tizzoni , Vittoria Colizza

This paper revisits a longstanding problem of interest concerning the distributed control of an epidemic process on human contact networks. Due to the stochastic nature and combinatorial complexity of the problem, finding optimal policies…

Optimization and Control · Mathematics 2022-12-12 Mohammad Mubarak , Cameron Nowzari

Empirical studies suggest that contact patterns follow heterogeneous inter-event times, meaning that intervals of high activity are followed by periods of inactivity. Combined with birth and death of individuals, these temporal constraints…

Physics and Society · Physics 2013-03-25 Luis Enrique Correa Rocha , Vincent D. Blondel

We investigate the spatial dynamics of two disease epidemics reaching a three-species cyclic model. Regardless of their species, all individuals are susceptible to being infected with two different pathogens, which spread through…

Populations and Evolution · Quantitative Biology 2024-06-05 J. Menezes , E. Rangel

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

Social and Information Networks · Computer Science 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

Populations and Evolution · Quantitative Biology 2020-12-24 Elisa Franco

We study a kinetic multi-agent framework coupling opinion dynamics with epidemic spreading, where individual social behaviour both affects and is affected by disease transmission. Each agent is characterised by an epidemiological state and…

Physics and Society · Physics 2026-03-13 Juan Pablo Pinasco , Nicolas Saintier , Horacio Tettamanti , Mattia Zanella

Human behavior often exhibit a scheme in which individuals adopt indifferent, neutral, or radical positions on a given topic. The mechanisms leading to community formation are strongly related with social pressure and the topology of the…

Physics and Society · Physics 2013-02-21 Marta Balbás Gambra , Erwin Frey

We present a lattice gas cellular automaton (LGCA) to study spatial and temporal dynamics of an epidemic of SIR (susceptible-infected-removed) type. The automaton is fully discrete, i.e. space, time and number of individuals are discrete…

Cellular Automata and Lattice Gases · Physics 2023-12-18 Henryk Fuks , Anna T. Lawniczak

can evolve simultaneously. For the information-driven adaptive process, susceptible (infected) individuals who have abilities to recognize the disease would break the links of their infected (susceptible) neighbors to prevent the epidemic…

Physics and Society · Physics 2015-05-20 Xiu-Xiu Zhan , Chuang Liu , Gui-Quan Sun , Zi-Ke Zhang

This paper proposes an approach to mitigate epidemic spread in a population of strategic agents by encouraging safer behaviors through carefully designed rewards. These rewards, which adapt to the evolving state of the epidemic, are…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Shinkyu Park , Jair Certorio , Nuno C. Martins , Richard J. La

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

Non-pharmaceutical measures such as social distancing, can play an important role to control an epidemic in the absence of vaccinations. In this paper, we study the impact of social distancing on epidemics for which it is executable. We use…

Physics and Society · Physics 2021-08-04 Sina Sajjadi , Alireza Hashemi , Fakhteh Ghanbarnejad

In this paper, we focus on the influence of heterogeneity and stochasticity of the population on the dynamical structure of a basic susceptible-infected-susceptible (SIS) model. First we prove that, upon a suitable mathematical…

Dynamical Systems · Mathematics 2017-02-28 Andreas Widder , Christian Kuehn

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents, and reconnecting those links with the rest of the…

Physics and Society · Physics 2007-07-11 Damian H. Zanette