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The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups or patches are often represented as nodes in a network whose links represent the…

Physics and Society · Physics 2013-03-27 Suyu Liu , Andrea Baronchelli , Nicola Perra

Active Brownian disks moving in two dimensions that exchange information about their internal state stochastically are chosen to model epidemic spread in a self-propelled population of agents under the…

Soft Condensed Matter · Physics 2024-11-21 R. Kailasham , Aditya S. Khair

Since 1927, until recently, models describing the spread of disease have mostly been of the SIR-compartmental type, based on the assumption that populations are homogeneous and well-mixed. The focus of these models have typically been on…

Physics and Society · Physics 2014-07-23 Lara Goscé , David A W Barton , Anders Johansson

The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed $V$ along a direction that changes slowly by rotational diffusion, characterized by a coefficient $\Dr$.…

Soft Condensed Matter · Physics 2025-03-11 Rodrigo Soto

An understanding of the disease spreading phenomenon based on a mathematical model is extremely needed for the implication of the correct policy measures to contain the disease propagation. Here, we report a new model namely the Ising-SIR…

Statistical Mechanics · Physics 2024-09-04 Dipak Patra

Biological microswimmers often inhabit a porous or crowded environment such as soil. In order to understand how such a complex environment influences their spreading, we numerically study non-interacting active Brownian particles (ABPs) in…

Soft Condensed Matter · Physics 2016-12-06 Maria Zeitz , Holger Stark

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

Non-Poissonian bursty processes are ubiquitous in natural and social phenomena, yet little is known about their effects on the large-scale spreading dynamics. In order to characterize these effects we devise an analytically solvable model…

Physics and Society · Physics 2014-03-19 Hang-Hyun Jo , Juan I. Perotti , Kimmo Kaski , János Kertész

Using an additivity property, we study particle-number fluctuations in a system of interacting self-propelled particles, called active Brownian particles (ABPs), which consists of repulsive disks with random self-propulsion velocities. From…

Statistical Mechanics · Physics 2016-05-16 Subhadip Chakraborti , Shradha Mishra , Punyabrata Pradhan

Understanding the spread of infectious diseases requires integrating movement, physical constraints, and spatial configurations into epidemiological models. In this study, we investigate how particle diffusivity, hardcore interactions, and…

Other Condensed Matter · Physics 2025-06-17 Kaito Takahashi , Makiko Sasada , Takuma Akimoto

Motivated by epidemics such as COVID-19, we study the spread of a contagious disease when behavior responds to the disease's prevalence. We extend the SIR epidemiological model to include endogenous meeting rates. Individuals benefit from…

Populations and Evolution · Quantitative Biology 2023-09-25 Krishna Dasaratha

The two-dimensional Active Brownian Particles system is meant to be composed of hard disks, that show excluded volume interactions, usually simulated via molecular dynamics using pure repulsive potentials. We show that the softness of the…

In this paper, we analyze the infection spreading dynamics of malware in a population of cyber nodes (i.e., computers or devices). Unlike most prior studies where nodes are reactive to infections, in our setting some nodes are active…

Systems and Control · Electrical Eng. & Systems 2023-05-25 Keith Paarporn , Shouhuai Xu

The pressure of suspensions of self-propelled objects is studied theoretically and by simulation of spherical active Brownian particles (ABP). We show that for certain geometries, the mechanical pressure as force/area of a confined systems…

Statistical Mechanics · Physics 2024-06-03 Roland G. Winkler , Adam Wysocki , Gerhard Gompper

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…

Optimization and Control · Mathematics 2020-04-14 Renato Pagliara , Naomi E. Leonard

Using Brownian dynamics simulations, the motion of active Brownian particles (ABPs) in the presence of fuel (or 'food') sources is studied. It is an established fact that within confined stationary systems, the activity of ABPs generates…

Biological Physics · Physics 2020-07-01 Holger Merlitz , Hidde Derk Vuijk , Rene Wittmann , Abhinav Sharma , Jens-Uwe Sommer

Active Brownian particles (ABPs) serve as a minimal model of active matter systems. When ABPs are sufficiently persistent, they undergo a liquid-gas phase separation and, in the presence of obstacles, accumulate around them, forming a…

Soft Condensed Matter · Physics 2025-10-16 Pablo Perez-Bastías , Rodrigo Soto

Transport and dispersion of active particles in structured environments such as corrugated channels and porous media are important for the understanding of both natural and engineered active systems. Owing to their continuous…

Soft Condensed Matter · Physics 2024-10-16 Zhiwei Peng

The Active Brownian Particle (ABP) model exemplifies a wide class of active matter particles. In this work, we demonstrate how this model can be cast into a field theory in both two and three dimensions. Our aim is manifold: we wish both to…

Soft Condensed Matter · Physics 2022-12-26 Ziluo Zhang , Lili Fehértói-Nagy , Maria Polackova , Gunnar Pruessner

Compartmental epidemiological models categorize individuals based on their disease status, such as the SEIRD model (Susceptible-Exposed-Infected-Recovered-Dead). These models determine the parameters that influence the magnitude of an…

Artificial Intelligence · Computer Science 2023-08-01 Alejandro Rodríguez-Arias , Amparo Alonso-Betanzos , Bertha Guijarro-Berdiñas , Noelia Sánchez-Marroño