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Containment measures implemented by some countries to suppress the spread of COVID-19 have resulted in a slowdown of the epidemic characterized by time series of daily infections plateauing over extended periods of time. We prove that such…

Physics and Society · Physics 2020-11-17 Filippo Radicchi , Ginestra Bianconi

Self-propelled particles serve as minimal models for emulating the dynamic self-organization of microorganisms, yet most synthetic systems remain limited to a single mode of motion, namely active Brownian particles (ABPs). Here, we present…

The worldwide spread of COVID-19 has called for fast advancement of new modelling strategies to estimate its unprecedented spread. Here, we introduce a model based on the fundamental SIR equations with a stochastic disorder by a random…

Physics and Society · Physics 2020-04-28 Suman Dutta

This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of…

Populations and Evolution · Quantitative Biology 2025-09-17 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

The diffusion behavior of an active Brownian particle (ABP) in polymer solutions is studied using Langevin dynamics simulations. We find that the long time diffusion coefficient $D$ can show a non-monotonic dependence on the particle size…

Soft Condensed Matter · Physics 2018-01-11 Yunfei Du , Zhonghuai Hou

Encounter-based models of diffusion provide a probabilistic framework for analyzing the effects of a partially absorbing reactive surface, in which the probability of absorption depends upon the amount of surface-particle contact time.…

Statistical Mechanics · Physics 2023-07-05 Paul C Bressloff

Spatiotemporal disorder has been recently associated to the occurrence of anomalous nonergodic diffusion of molecular components in biological systems, but the underlying microscopic mechanism is still unclear. We introduce a model in which…

Statistical Mechanics · Physics 2017-03-15 C. Charalambous , G. Muñoz-Gil , A. Celi , M. F. Garcia-Parajo , M. Lewenstein , C. Manzo , M. A. García-March

We investigate the wetting transitions displayed by the collection of active Brownian particles (ABPs) confined within rigid, impenetrable, flat walls. In our computational study using Brownian dynamics simulations, the wall-particle…

Soft Condensed Matter · Physics 2025-07-08 Suchismita Das , Raghunath Chelakkot

Recent advances in micro- and nano-technologies allow the construction of complex active systems from biological and synthetic materials. An interesting example is active vesicles, which consist of a membrane enclosing self-propelled…

Soft Condensed Matter · Physics 2024-06-04 Priyanka Iyer , Gerhard Gompper , Dmitry A. Fedosov

We study the position distribution of a single active Brownian particle (ABP) on the plane. We show that this distribution has a compact support, the boundary of which is an expanding circle. We focus on a short-time regime and employ the…

Statistical Mechanics · Physics 2020-08-19 Satya N. Majumdar , Baruch Meerson

In this manuscript, we develop a mobility-based Susceptible-Infectious-Recovered (SIR) model to elucidate the dynamics of pandemic propagation. While traditional SIR models within the field of epidemiology aptly characterize transitions…

Dynamical Systems · Mathematics 2025-01-16 Ciana Applegate , Jiaxu Li , Dan Han

We study a dynamic infection spread model, inspired by the discrete time SIR model, where infections are spread via non-isolated infected individuals. While infection keeps spreading over time, a limited capacity testing is performed at…

Methodology · Statistics 2022-01-25 Batuhan Arasli , Sennur Ulukus

In this work, we study the dynamics of a single active Brownian particle, as well as the collective behavior of interacting active Brownian particles, in a fluctuating heterogeneous environment. We employ a variant of the diffusing…

Soft Condensed Matter · Physics 2022-01-05 S. M. J. Khadem , N. H. Siboni , S. H. L. Klapp

Methods to extract information from the tracking of mobile objects/particles have broad interest in biological and physical sciences. Techniques based on simple criteria of proximity in time-consecutive snapshots are useful to identify the…

Data Analysis, Statistics and Probability · Physics 2015-03-13 M. Chertkov , L. Kroc , F. Krzakala , M. Vergassola , L. Zdeborová

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

The propagation of information in social, biological and technological systems represents a crucial component in their dynamic behavior. When limited to pairwise interactions, a rather firm grip is available on the relevant parameters and…

Physics and Society · Physics 2021-09-15 Z. Li , Z. Deng , Z. Han , K. Alfaro-Bittner , B. Barzel , S. Boccaletti

Typically, contagion strength is modeled by a transmission rate $\lambda$, whereby all nodes in a network are treated uniformly in a mean-field approximation. However, local agents react differently to the same contagion based on their…

Physics and Society · Physics 2014-01-28 Pouya Manshour , Afshin Montakhab

The integration of empirical data in computational frameworks to model the spread of infectious diseases poses challenges that are becoming pressing with the increasing availability of high-resolution information on human mobility and…

Populations and Evolution · Quantitative Biology 2013-04-24 Anna Machens , Francesco Gesualdo , Caterina Rizzo , Alberto E Tozzi , Alain Barrat , Ciro Cattuto

The spread of infectious diseases crucially depends on the pattern of contacts among individuals. Knowledge of these patterns is thus essential to inform models and computational efforts. Few empirical studies are however available that…

Models of epidemics over networks have become popular, as they describe the impact of individual behavior on infection spread. However, they come with high computational complexity, which constitutes a problem in case large-scale scenarios…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Davide Zorzenon , Fabio Molinari , Joerg Raisch
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