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We propose an epidemic compartment model, which includes mortality caused by the disease, but excludes demographic birth and death processes. Individuals are represented by random walkers, which are in one of the following states…

We consider a compartmental model to study the evolution of the number of regular customers and referral customers in some corporation. Transitions between compartments are modeled by parameters depending on the social network and the…

动力系统 · 数学 2015-03-11 César M. Silva , Silvério Rosa , Helena Alves , Pedro G. Carvalho

In most countries, alcohol consumption distributions have been shown to possess universal features. Their unimodal right-skewed shape is usually modeled in terms of the Lognormal distribution, which is easy to fit, test, and modify.…

物理与社会 · 物理学 2020-01-08 Giacomo Dimarco , Giuseppe Toscani

We study the nonequilibrium phase transitions from the absorbing phase to the active phase for the model of disease spreading (Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular one dimensional lattice. In this model,…

统计力学 · 物理学 2023-08-15 M. Ali Saif

Models of social diffusion reflect processes of how new products, ideas or behaviors are adopted in a population. These models typically lead to a continuous or a discontinuous phase transition of the number of adopters as a function of a…

物理与社会 · 物理学 2018-03-09 Paula Tuzón , Juan Fernández-Gracia , Víctor M. Eguíluz

We study the active to absorbing phase transition (AAPT) in a simple two-component model system for a species and its mutant. We uncover the nontrivial critical scaling behavior and weak dynamic scaling near the AAPT that shows the…

统计力学 · 物理学 2015-10-07 Niladri Sarkar

This paper analyses how risk-taking behaviour and preferences over consumption rank can emerge as a neutrally stable equilibrium when individuals face an anti-coordination task. If in an otherwise homogeneous society information about…

理论经济学 · 经济学 2023-03-07 Manuel Staab

We introduce a model for the evolution of sexually transmitted diseases, in which the social behavior is incorporated as a determinant factor for the further propagation of the infection. The system may be regarded as a society of agents…

统计力学 · 物理学 2009-11-07 Sebatian Goncalves , Marcelo Kuperman

We study the relation between different social behaviors and the onset of epidemics in a model for the dynamics of sexual transmitted diseases. The model considers the society as a system of individual sexuated agents that can be organized…

适应与自组织系统 · 物理学 2009-11-10 Sebastian Goncalves , Marcelo Kuperman , Marcelo Ferreira da Costa Gomes

We study the long-time behavior of stochastic models with an absorbing state, conditioned on survival. For a large class of processes, in which saturation prevents unlimited growth, statistical properties of the surviving sample attain…

统计力学 · 物理学 2009-11-07 Ronald Dickman , Ronaldo Vidigal

We model the dynamics of social structure by a simple interacting particle system. The social standing of an individual agent is represented by an integer-valued fitness that changes via two offsetting processes. When two agents interact…

物理与社会 · 物理学 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

In this work, we investigate the statistical properties of drink serving in a nightclub bar, utilizing a stochastic model to characterize pedestrian dynamics within the venue. Our model comprises a system of n agents moving across an…

物理与社会 · 物理学 2024-04-08 Eduardo V. Stock , Roberto da Silva , Sebastián Gonçalves

We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020) for the dynamics of voting intention. Each agent has a…

物理与社会 · 物理学 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

We present a stochastic model for a social network, where new actors may join the network, existing actors may become inactive and, at a later stage, reactivate themselves. Our model captures the evolution of the network, assuming that…

物理与社会 · 物理学 2007-05-23 Trevor Fenner , Mark Levene , George Loizou , George Roussos

We investigate absorption, i.e., almost sure convergence to an absorbing state, in time-varying (non-homogeneous) discrete-time Markov chains with finite state space. We consider systems that can switch among a finite set of transition…

系统与控制 · 电气工程与系统科学 2020-08-18 Yasin Yazicioglu

We investigate a two-strain disease model with amplification to simulate the prevalence of drug-susceptible (s) and drug-resistant (m) disease strains. We model the emergence of drug resistance as a consequence of inadequate treatment, i.e.…

种群与进化 · 定量生物学 2019-08-22 Md Abdul Kuddus , Michael T. Meehan , Adeshina I. Adekunle , Lisa J. White , Emma S. McBryde

We develop a class of exponential-family point processes based on a latent social space to model the coevolution of social structure and behavior over time. Temporal dynamics are modeled as a discrete Markov process specified through…

其他统计学 · 统计学 2016-10-04 Joshua D. EmBree , Mark S. Handcock

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

软凝聚态物质 · 物理学 2020-03-04 Christopher Ness , Michael E. Cates

The statistical properties of pairwise majority voting over S alternatives is analyzed in an infinite random population. We first compute the probability that the majority is transitive (i.e. that if it prefers A to B to C, then it prefers…

统计力学 · 物理学 2009-11-10 Giacomo Raffaelli , Matteo Marsili

When an infection spreads in a community, an individual's probability of becoming infected depends on both her susceptibility and exposure to the contagion through contact with others. While one often has knowledge regarding an individual's…

社会与信息网络 · 计算机科学 2017-12-05 Maggie Makar , John Guttag , Jenna Wiens