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In most models of the spread of disease over contact networks it is assumed that the probabilities per unit time of disease transmission and recovery from disease are constant, implying exponential distributions of the time intervals for…

物理与社会 · 物理学 2010-07-23 Brian Karrer , M. E. J. Newman

In the study of disease spreading on empirical complex networks in SIR model, initially infected nodes can be ranked according to some measure of their epidemic impact. The highest ranked nodes, also referred to as "superspreaders", are…

物理与社会 · 物理学 2014-07-16 Mile Sikic , Alen Lancic , Nino Antulov-Fantulin , Hrvoje Stefancic

In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

证券定价 · 定量金融 2010-09-21 Dorje C. Brody , Yan Tai Law

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

What role do asymptomatically infected individuals play in the transmission dynamics? There are many diseases, such as norovirus and influenza, where some infected hosts show symptoms of the disease while others are asymptomatically…

种群与进化 · 定量生物学 2018-01-29 Ka Yin Leung , Pieter Trapman , Tom Britton

We study the dynamics of a spatially structured model of worldwide epidemics and formulate predictions for arrival times of the disease at any city in the network. The model is comprised of a system of ordinary differential equations…

斑图形成与孤子 · 物理学 2018-02-14 Lawrence M. Chen , Matt Holzer , Anne Shapiro

Time-varying network topologies can deeply influence dynamical processes mediated by them. Memory effects in the pattern of interactions among individuals are also known to affect how diffusive and spreading phenomena take place. In this…

The analysis of financial markets using models inspired by statistical physics offers a fruitful approach to understand collective and extreme phenomena [3, 14, 15] In this paper, we present a study based on a 2D Ising network model where…

统计金融 · 定量金融 2025-12-23 Hernán Ezequiel Benítez , Claudio Oscar Dorso

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

种群与进化 · 定量生物学 2026-02-23 David J. D. Earn , Todd L. Parsons

When modelling epidemics or spread of information on online social networks, it is crucial to include not just the density of the connections through which infections can be transmitted, but also the variability of susceptibility. Different…

物理与社会 · 物理学 2020-02-18 Ágnes Backhausz , Edit Bognár

The network virus propagation is influenced by various factors, and some of them are neglected in most of the existed models in the literature. In this paper, we study the network virus propagation based on the the epidemiological…

计算机科学与博弈论 · 计算机科学 2014-10-15 Iyed Khammassi , Rachid Elazouzi , Majed Haddad , Issam Mabrouki

The issue of state estimation is considered for an SIR-SI epidemiological model describing a vector-borne disease such as dengue fever, subject to seasonal variations. Assuming continuous measurement of the incidence rate (that is the…

最优化与控制 · 数学 2018-03-08 Maria Soledad Aronna , Pierre-Alexandre Bliman , Maria Aronna

We present an interacting-agent model of speculative activity explaining bubbles and crashes in stock markets. We describe stock markets through an infinite-range Ising model to formulate the tendency of traders getting influenced by the…

统计力学 · 物理学 2009-10-31 Taisei Kaizoji

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

Infectious disease superspreading caused by heterogeneity in contact behavior has been observed to be an important determinant of epidemic dynamics and size in both empirical and theoretical settings. However, it has also been observed that…

We consider the qualitative behavior of a mathematical model for transmission dynamics with two nonlinear stages of contagion. The proposed model is inspired by phenomena occurring in epidemiology (spread of infectious diseases) or social…

动力系统 · 数学 2021-05-04 Julian Heidecke , Maria Vittoria Barbarossa

We study in this paper the time evolution of stock markets using a statistical physics approach. Each agent is represented by a spin having a number of discrete states $q$ or continuous states, describing the tendency of the agent for…

综合金融 · 定量金融 2021-02-09 Hung T. Diep , Gabriel Desgranges

Susceptible-Infected-Recovered (SIR) models have been used for decades to understand epidemic outbreak dynamics. We develop an SIR model specifically designed to study the effects of population behavior with respect to health and…

种群与进化 · 定量生物学 2023-08-03 Jasmin Nunuvero , Angelique Santiago , Moshe Cohen , Anca Radulescu

We present a class of SEIR Markov chain models for infectious diseases observed over discrete time in a random human population living in a closed environment. The population changes over time through random births, deaths, and transitions…

种群与进化 · 定量生物学 2019-07-30 Divine Wanduku , Chinmoy Rahul

Multidimensional continuous-time Markov jump processes $(Z(t))$ on $\mathbb{Z}^p$ form a usual set-up for modeling $SIR$-like epidemics. However, when facing incomplete epidemic data, inference based on $(Z(t))$ is not easy to be achieved.…

统计方法学 · 统计学 2014-01-03 Romain Guy , Catherine Larédo , Elisabeta Vergu