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Changes in human behavior are increasingly recognized as a major determinant of epidemic dynamics. Although collective activity can be modified through imposed measures to control epidemic progression, spontaneous changes can also arise as…

种群与进化 · 定量生物学 2021-05-25 Susanna Manrubia , Damián H. Zanette

We investigate a cyclic game system where organisms face an epidemic beyond being threatened by natural enemies. As a survival strategy, individuals of one out of the species usually safeguard themselves by approaching the enemies of their…

种群与进化 · 定量生物学 2023-01-09 J. Menezes , B. Ferreira , E. Rangel , B. Moura

We study a three-species cyclic model whose organisms are vulnerable to contamination with an infectious disease which propagates person-to-person. We consider that individuals of one species perform an evolutionary self-preservation…

种群与进化 · 定量生物学 2024-06-05 J. Menezes

We study networks of human decision-makers who independently decide how to protect themselves against Susceptible-Infected-Susceptible (SIS) epidemics. Motivated by studies in behavioral economics showing that humans perceive probabilities…

计算机科学与博弈论 · 计算机科学 2018-10-03 Ashish R. Hota , Shreyas Sundaram

Susceptibility governs the dynamics of contagion. The classical SIR model is one of the simplest compartmental models of contagion spread, assuming a single shared susceptibility level. However, variation in susceptibility over a population…

种群与进化 · 定量生物学 2020-09-22 Christopher Rose , Andrew J. Medford , C. Franklin Goldsmith , Tejs Vegge , Joshua Weitz , Andrew A. Peterson

Changs in individual behavior often entangles with the dynamic interaction of individuals, which complicates the epidemic process and brings great challenges for the understanding and control of the epidemic. In this work, we consider three…

物理与社会 · 物理学 2021-10-27 Bing Wang , Zeyang Xie , Yuexing Han

In this paper, we investigate the problem of mitigating epidemics by applying an event-triggered control strategy. We consider a susceptible-infected-removed-susceptible (SIRS) model, which builds upon the foundational SIR model by…

系统与控制 · 电气工程与系统科学 2023-10-17 Lichen Ding , Kazumune Hashimoto , Shigemasa Takai

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…

概率论 · 数学 2021-08-19 François Baccelli , Nithin Ramesan

We consider a model due to Piero Poletti and collaborators that adds spontaneous human behavioral change to the standard SIR epidemic model. In its simplest form, the Poletti model adds one differential equation, motivated by evolutionary…

种群与进化 · 定量生物学 2020-06-23 Stephen Schecter

In this paper we present a model describing Susceptible-Infected-Susceptible (SIS) type epidemics spreading on a dynamic contact network with random link activation and deletion where link ac- tivation can be locally constrained. We use and…

动力系统 · 数学 2015-05-30 Michael Taylor , Timothy J. Taylor , Istvan Z. Kiss

Compartmental epidemic models, grounded in mass-action kinetics, often assume homogeneous mixing. Although this neglects network structure, recent results show that for Poisson random graphs, the classical SIR model, especially the…

种群与进化 · 定量生物学 2026-04-28 Akshara Bhat , Abhishek Deshpande , Chittaranjan Hens , Subrata Ghosh

Individual contributions to the spread of an epidemic vary widely due to an individual's location in a social network and their intrinsic ability to spread or contract diseases. While the effect of heterogeneous population structure and…

种群与进化 · 定量生物学 2026-05-14 Abhay Gupta , Nicholas W. Landry

The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complex' contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this…

系统与控制 · 计算机科学 2019-02-15 Sebastian F. Ruf , Keith Paarporn , Philip E. Paré

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…

物理与社会 · 物理学 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

物理与社会 · 物理学 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

Populations are seldom completely isolated from their environment. Individuals in a particular geographic or social region may be considered a distinct network due to strong local ties, but will also interact with individuals in other…

物理与社会 · 物理学 2012-03-30 M. Dickison , S. Havlin , H. E. Stanley

We present and analyze an actively controlled Susceptible-Infected-Susceptible (actSIS) model of interconnected populations to study how risk aversion strategies, such as social distancing, affect network epidemics. A population using a…

种群与进化 · 定量生物学 2024-10-18 Anastasia Bizyaeva , Marcela Ordorica Arango , Yunxiu Zhou , Simon Levin , Naomi Ehrich Leonard

Epidemics have shaped human history, often with devastating consequences, motivating the development of mathematical models to understand and control their dynamics. Among the many aspects of epidemic behavior, the conditions that lead to…

种群与进化 · 定量生物学 2026-05-01 Germano Hartmann Brill , Pablo Enrique Jurado Silvestrin , Sebastian Gonçalves

We study dynamics of a variant of the SIR the model, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled by the Preisach hysteresis operator. The degree of heterogeneity…

动力系统 · 数学 2021-03-16 Dmitrii Rachinskii , Samiha Rouf

Social distancing as one of the main non-pharmaceutical interventions can help slow down the spread of diseases, like in the COVID-19 pandemic. Effective social distancing, unless enforced as drastic lockdowns and mandatory cordon…

物理与社会 · 物理学 2020-11-30 Alina Glaubitz , Feng Fu