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We study the diffusion of epidemics on networks that are partitioned into local communities. The gross structure of hierarchical networks of this kind can be described by a quotient graph. The rationale of this approach is that individuals…

社会与信息网络 · 计算机科学 2016-01-19 Stefano Bonaccorsi , Stefania Ottaviano , Delio Mugnolo , Francesco De Pellegrini

The global SARS-CoV-2 pandemic suggests a novel type of disease spread dynamics. WHO states that there is currently no evidence that people who have recovered from COVID-19 and have antibodies are immune from a second infection [WHO].…

物理与社会 · 物理学 2020-08-03 Kurt Langfeld

We investigate the sensitivity of epidemic behavior to a bounded susceptibility constraint -- susceptible nodes are infected by their neighbors via the regular SI/SIS dynamics, but subject to a cap on the infection rate. Such a constraint…

社会与信息网络 · 计算机科学 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai

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

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…

种群与进化 · 定量生物学 2021-12-07 Nicholas Landry

This paper introduces a microscopic approach to model epidemics, which can explicitly consider the consequences of individual's decisions on the spread of the disease. We first formulate a microscopic multi-agent epidemic model where every…

多智能体系统 · 计算机科学 2020-04-28 Changliu Liu

Contagious processes, such as spread of infectious diseases, social behaviors, or computer viruses, affect biological, social, and technological systems. Epidemic models for large populations and finite populations on networks have been…

最优化与控制 · 数学 2020-04-14 Renato Pagliara , Naomi E. Leonard

The dynamics of contact networks and epidemics of infectious diseases often occur on comparable time scales. Ignoring one of these time scales may provide an incomplete understanding of the population dynamics of the infection process. We…

种群与进化 · 定量生物学 2021-02-09 Luis E C Rocha , Naoki Masuda

Incorporating decision-making dynamics during an outbreak poses a challenge for epidemiology, faced by several modeling approaches siloed by different disciplines. We propose an epi-economic model where high-frequency choices of individuals…

物理与社会 · 物理学 2025-01-31 Lorenzo Amir Nemati Fard , Alberto Bisin , Michele Starnini , Michele Tizzoni

In Fall 2020, several European countries reported rapid increases in COVID-19 cases along with growing estimates of the effective reproduction rates. Such an acceleration in epidemic spread is usually attributed to time-dependent effects,…

种群与进化 · 定量生物学 2022-11-30 Nazmi Burak Budanur , Björn Hof

We study the interplay between epidemic dynamics and human decision making for epidemics that involve reinfection risk; in particular, the susceptible-infected-susceptible (SIS) and the susceptible-infected-recovered-infected (SIRI)…

系统与控制 · 电气工程与系统科学 2023-05-31 Abhisek Satapathi , Narendra Kumar Dhar , Ashish R. Hota , Vaibhav Srivastava

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.…

物理与社会 · 物理学 2025-06-03 Mehran Noori , Nahid Azimi-Tafreshi , Mohammad Salahshour

This study is concerned with the dynamical behaviors of epidemic spreading over a two-layered interconnected network. Three models in different levels are proposed to describe cooperative spreading processes over the interconnected network,…

物理与社会 · 物理学 2017-02-15 Xiang Wei , Xiaoqun Wu , Shihua Chen , Jun-an Lu , Guanrong Chen

Without vaccines and treatments, societies must rely on non-pharmaceutical intervention strategies to control the spread of emerging diseases such as COVID-19. Though complete lockdown is epidemiologically effective, because it eliminates…

种群与进化 · 定量生物学 2021-01-08 Jason Hindes , Simone Bianco , Ira B. Schwartz

In this paper we study the diffusion of an SIS-type epidemics on a network under the presence of a random environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form…

概率论 · 数学 2016-07-25 Stefano Bonaccorsi , Stefania Ottaviano

The global crisis of 2008 provoked a heightened interest among scientists to study the phenomenon, its propagation and negative consequences. The process of modelling the spread of a virus is commonly used in epidemiology. Conceptually, the…

物理与社会 · 物理学 2019-08-12 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

We investigate final outcome properties of an SIR (susceptible $\to$ infective $\to$ recovered) epidemic model defined on a population of large sub-communities in which there is stronger disease transmission within the communities than…

概率论 · 数学 2024-04-08 Frank Ball , David Sirl , Pieter Trapman

Epidemics are a serious public health threat, and the resources for mitigating their effects are typically limited. Decision-makers face challenges in forecasting the supply and demand for these resources as prior information about the…

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…

物理与社会 · 物理学 2018-07-19 Wesley Cota , Angélica S. Mata , Silvio C. Ferreira

In this paper, we present a discrete-time networked SEIR model using population flow, its derivation, and assumptions under which this model is well defined. We identify properties of the system's equilibria, namely the healthy states. We…

系统与控制 · 电气工程与系统科学 2021-04-16 Brooks Butler , Ciyuan Zhang , Ian Walter , Nishant Nair , Raphael Stern , Philip E. Paré