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In this paper, we show how a dynamic population game can model the strategic interaction and migration decisions made by a large population of agents in response to epidemic prevalence. Specifically, we consider a modified…

系统与控制 · 电气工程与系统科学 2022-07-04 Ezzat Elokda , Saverio Bolognani , Ashish R. Hota

We introduce a theoretical framework that highlights the impact of physical distancing variables such as human mobility and physical proximity on the evolution of epidemics and, crucially, on the reproduction number. In particular, in…

物理与社会 · 物理学 2022-01-31 Fabio Vanni , David Lambert , Luigi Palatella

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…

动力系统 · 数学 2021-07-26 Hannah Scanlon , John Gemmer

Many infectious diseases are comprised of multiple strains with examples including Influenza, tuberculosis, and Dengue virus. The time evolution of such systems is linked to a complex landscape shaped by interactions between competing…

种群与进化 · 定量生物学 2023-11-21 Nir Gavish , Musa Rabiu

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…

物理与社会 · 物理学 2007-07-11 Damian H. Zanette

We consider the spread of infectious diseases through a Mean Field Game version of a SIR compartmental model with social structure, in which individuals are grouped by their age class and interact together in different settings. In our game…

物理与社会 · 物理学 2022-12-14 Louis Bremaud , Denis Ullmo

The frequent emergence of diseases with the potential to become threats at local and global scales, such as influenza A(H1N1), SARS, MERS, and recently COVID-19 disease, makes it crucial to keep designing models of disease propagation and…

物理与社会 · 物理学 2020-08-27 I. A. Perez , M. A. Di Muro , C. E. La Rocca , L. A. Braunstein

The impact of spatial structure on the spread of an epidemic is an important issue in the propagation of infectious diseases. Recent studies, both deterministic and stochastic, have made it possible to understand the importance of the…

概率论 · 数学 2023-01-09 Alphonse Emakoua

Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying…

物理与社会 · 物理学 2024-06-10 Katherine Betz , Feng Fu , Naoki Masuda

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…

物理与社会 · 物理学 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

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.…

物理与社会 · 物理学 2021-05-19 Wenyao Li , Xiaoyu Xue , Liming Pan , Tao Lin , Wei Wang

This paper analyzes a Susceptible-Infected-Susceptible (SIS) model of epidemic propagation over hypergraphs and, motivated by an important special case, we refer to the model as to the simplicial SIS model. Classically, the multi-group SIS…

最优化与控制 · 数学 2021-10-05 Pedro Cisneros-Velarde , Francesco Bullo

When three species compete cyclically in a well-mixed, stochastic system of $N$ individuals, extinction is known to typically occur at times scaling as the system size $N$. This happens, for example, in rock-paper-scissors games or…

物理与社会 · 物理学 2019-02-20 Kevin E. Bassler , Erwin Frey , R. K. P. Zia

The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals' behavior is the result of a strategic choice. We study a simple coordination…

概率论 · 数学 2015-03-17 Marc Lelarge

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…

系统与控制 · 计算机科学 2015-02-23 Ali Khanafer , Tamer Başar , Bahman Gharesifard

We introduce and study a model stemming from game theory for the spread of an epidemic throughout a given population. Each agent is allowed to choose an action whose value dictates to what extent they limit their social interactions, if at…

概率论 · 数学 2023-03-20 Sayar Karmakar , Moumanti Podder , Souvik Roy , Soumyarup Sadhukhan

We study SIS epidemic spreading models under population dispersal on multi-layer networks. We consider a patchy environment in which each patch comprises individuals belonging to different classes. Individuals disperse to other patches on a…

最优化与控制 · 数学 2022-11-02 Vishal Abhishek , Vaibhav Srivastava

The spread of an epidemic disease and the population's collective behavioural response are deeply intertwined, influencing each other's evolution. Such a co-evolution typically has been overlooked in mathematical models, limiting their…

动力系统 · 数学 2024-10-24 Kathinka Frieswijk , Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Ming Cao

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. Broken links are either permanently removed or reconnected…

种群与进化 · 定量生物学 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

Recent research on social contagion processes has revealed the limitations of traditional networks, which capture only pairwise relationships, to characterize complex multiparty relationships and group influences properly. Social contagion…

社会与信息网络 · 计算机科学 2024-08-19 Lidan Liang , Shaoxuan Cui , Fangzhou Liu