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Records of social interactions provide us with new sources of data for understanding how interaction patterns affect collective dynamics. Such human activity patterns are often bursty, i.e., they consist of short periods of intense activity…

物理与社会 · 物理学 2015-06-05 Taro Takaguchi , Naoki Masuda , Petter Holme

We study the motion of an active Brownian particle (ABP) using overdamped Langevin dynamics on a two-dimensional substrate with periodic array of obstacles and in a quasi-one-dimensional corrugated channel comprised of periodically arrayed…

软凝聚态物质 · 物理学 2019-05-28 Sudipta Pattanayak , Rakesh Das , Manoranjan Kumar , Shradha Mishra

We introduce a kinetic framework for modeling the time evolution of the statistical distributions of the population densities in the three compartments of susceptible, infectious, and recovered individuals, under epidemic spreading driven…

偏微分方程分析 · 数学 2025-12-16 Giorgio Martalò , Giuseppe Toscani , Mattia Zanella

We study interacting active Brownian particles (ABPs) with a space-dependent swim velocity via simulation and theory. We find that, although an equation of state exists, a mechanical equilibrium does not apply to ABPs in activity…

软凝聚态物质 · 物理学 2024-12-13 Adam Wysocki , Anil K. Dasanna , Heiko Rieger

Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a recent model by Vaziry, Kolokolnikov, and Kevrekidis [Royal…

种群与进化 · 定量生物学 2024-10-01 Maryam Ahmadpoortorkamani , Alexei Cheviakov

We investigate SIR models with vital dynamics, reinfection, and randomness at the transmission coefficient and recruitment rate. Initially, we conduct an extensive analysis of the autonomous scenario, covering aspects such as local and…

动力系统 · 数学 2024-04-22 Javier López-de-la-Cruz , Alexandre N. Oliveira-Sousa

We introduce a modified SIR model with memory for the dynamics of epidemic spreading in a constant population of individuals. Each individual is in one of the states susceptible (${\bf S}$), infected (${\bf I}$) or recovered (${\bf R}$). In…

We investigate the behavior of active Brownian particles (ABP) within a temporal complex network framework approach. We focused on the node degree distribution, average path length, and average clustering coefficient across the P\'eclet…

生物物理 · 物理学 2024-05-29 Italo Salas , Francisca Guzmán-Lastra , Denisse Pastén , Ariel Norambuena

We investigate the collective dynamics of active Brownian particles (ABPs) subjected to a steady two-dimensional four-roll-mill flow using numerical simulations. By varying the packing fraction ($\phi$), we uncover a novel flow-induced…

软凝聚态物质 · 物理学 2026-03-17 Soni D. Prajapati , Kusum Seervi , Akshay Bhatnagar , Anupam Gupta

We have designed a computational model of a virus spread near the outbreak threshold. Using computer simulation we studied the Susceptible - Infected - Recovered (SIR) process where in consequence of a force of habit that is manifested by…

种群与进化 · 定量生物学 2021-12-23 Jozef Černák

In this paper we consider non-atomic games in populations that are provided with a choice of preventive policies to act against a contagion spreading amongst interacting populations, be it biological organisms or connected computing…

计算机科学与博弈论 · 计算机科学 2025-03-04 Yi Zhang , Sanjiv Kapoor

We develop a closed-form analytical theory for the transport of a chiral active Brownian particle (cABP) in three dimensions, moving through a fluctuating local density field that coarse-grains steric and dynamical interactions in a dense…

统计力学 · 物理学 2025-08-25 Jayam Joshi , Shradha Mishra

The contact process is an emblematic model of a non-equilibrium system, containing a phase transition between inactive and active dynamical regimes. In the epidemiological context, the model is known as the susceptible-infected-susceptible…

统计力学 · 物理学 2023-05-12 Wout Merbis , Clélia de Mulatier , Philippe Corboz

We discuss recent advances in developing a mode-coupling theory of the glass transition (MCT) of two-dimensional systems of active Brownian particles (ABP). We specifically discuss the case of a single ABP tracer in a glass-forming passive…

软凝聚态物质 · 物理学 2020-12-15 Julian Reichert , Leon Granz , Thomas Voigtmann

This paper presents a discrete time probabilistic dynamic for simulating a contact-based epidemic spreading based on discrete time Markov chain process, in particular the attention is addressed to the susceptible-infectious-removed (SIR)…

物理与社会 · 物理学 2017-12-22 Fabrizio Angaroni

We study steady-state properties of a bath of active Brownian particles (ABPs) in two dimensions in the presence of two fixed, permeable (hollow) disklike inclusions, whose interior and exterior regions can exhibit mismatching motility…

软凝聚态物质 · 物理学 2021-07-20 Mahmoud Sebtosheikh , Ali Naji

The temporal dynamics of social interactions were shown to influence the spread of disease. Here, we model the conditions of progression and competition for several viral strains, exploring various levels of cross-immunity over temporal…

物理与社会 · 物理学 2022-06-14 Alex Abbey , Yuval Shahar , Osnat Mokryn

We derive an analytic expression for the mechanical pressure of a generic one-dimensional model of confined active Brownian particles (ABPs) that is valid for all values of Peclet number Pe and all confining scenarios. Our model reproduces…

软凝聚态物质 · 物理学 2021-06-30 Paolo Malgaretti , Piotr Nowakowski , Holger Stark

Density-dependent diffusion is a widespread phenomenon in nature. We have examined the density-dependent diffusion behavior of some biological processes such as tumor growth and invasion [23]. Here, we extend our previous work by developing…

统计力学 · 物理学 2022-02-14 Ahmed M. Fouad , Marwa M. Fouad

We formulate a generalized susceptible exposed infectious recovered (SEIR) model on a graph, describing the population dynamics of an open crowded place with an arbitrary topology. As a sample calculation, we discuss three simple cases,…

物理与社会 · 物理学 2020-12-18 Andrea Nava , Alessandro Papa , Marco Rossi , Domenico Giuliano