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The growth of the number of people in the monitoring scene may increase the probability of security threat, which makes crowd counting more and more important. Most of the existing approaches estimate the number of pedestrians within one…

Computer Vision and Pattern Recognition · Computer Science 2017-12-18 Liqing Gao , Yanzhang Wang , Xin Ye , Jian Wang

We develop a discrete-time version of the blended dynamics theorem for the use of designing distributed computation algorithms. The blended dynamics theorem enables to predict the behavior of heterogeneous multi-agent systems. Therefore,…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Jeong Woo Kim , Jin Gyu Lee , Donggil Lee , Hyungbo Shim

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

Physics and Society · Physics 2015-03-19 Brian Karrer , M. E. J. Newman

Currently, the safety of people has become a very important problem in different places including subway station, universities, colleges, airport, shopping mall and square, city squares. Therefore, considering intelligence event detection…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Constantinou Miti , Demetriou Zatte , Siraj Sajid Gondal

The modelling of human crowd behaviors offers many challenging questions to science in general. Specifically, the social human behavior consists of many physiological and psychological processes which are still largely unknown. To model…

Physics and Society · Physics 2023-10-17 Thi Kim Thoa Thieu , Roderick Melnik

From pathogens and computer viruses to genes and memes, contagion models have found widespread utility across the natural and social sciences. Despite their success and breadth of adoption, the approach and structure of these models remain…

Especially in lattice structured populations, homogeneous mixing represents an inadequate assumption. Various improvements upon the ordinary pair approximation based on a number of assumptions concerning the higher-order correlations have…

Populations and Evolution · Quantitative Biology 2007-05-23 Thomas Petermann , Paolo De Los Rios

Many countries have introduced social distancing rules during the COVID-19 pandemic in order to reduce spreading of the virus in public spaces. This has inspired research on pedestrian dynamics in more ways than just one. Many studies have…

Physics and Society · Physics 2023-08-14 Mohcine Chraibi , Andreas Schadschneider , Antoine Tordeux

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

Dynamical Systems · Mathematics 2025-11-27 Christian Parkinson , Weinan Wang

Here we propose and implement a generalized mathematical model to find the time evolution of population in infectious diseases and apply the model to study the recent COVID-19 pandemic. Our model at the core is a non-local generalization of…

Populations and Evolution · Quantitative Biology 2020-05-01 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

The study of human mobility patterns is a crucially important research field for its impact on several socio-economic aspects and, in particular, the measure of regularity patters of human mobility can provide a across-the-board view of…

Physics and Society · Physics 2021-04-20 Fabio Vanni , David Lambert

Routing choices of walking pedestrians in geometrically complex environments are regulated by the interplay of a multitude of factors such as local crowding, (estimated) time to destination, (perceived) comfort. As individual choices…

Physics and Society · Physics 2022-10-03 Alessandro Gabbana , Federico Toschi , Philip Ross , Antal Haans , Alessandro Corbetta

An aging population is bringing new challenges to the management of escape routes and facility design in many countries. This paper investigates pedestrian movement properties of crowd with different age compositions. Three pedestrian…

Physics and Society · Physics 2016-08-24 Shuchao Cao , Jun Zhang , Daniel Salden , Jian Ma , Chang'an Shi , Ruifang Zhang

The global public health landscape is perpetually challenged by the looming threat of infectious diseases. Central to addressing this concern is the imperative to prevent and manage disease transmission during pandemics, particularly in…

Populations and Evolution · Quantitative Biology 2024-04-19 Xue Liu , Yue Deng , Jingying Huang , Yuhong Zhang , Jinzhi Lei

In real world, there is a significant relation between human behaviors and epidemic spread. Especially, the reactions among individuals in different communities to epidemics may be different, which lead to cluster synchronization of human…

Adaptation and Self-Organizing Systems · Physics 2017-10-31 Zhongpu Xu , Kezan Li , Mengfeng Sun , Xinchu Fu

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…

Dynamical Systems · Mathematics 2021-05-04 Julian Heidecke , Maria Vittoria Barbarossa

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

We propose a kinetic model for understanding the link between opinion formation phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine hesitancy can present different phases and temporal and spatial…

Physics and Society · Physics 2023-10-31 Andrea Bondesan , Giuseppe Toscani , Mattia Zanella

The processes of interplant competition within a field are still poorly understood. However, they explain a large part of the heterogeneity in a field and may have longer-term consequences, especially in mixed stands. Modeling can help to…

Analysis of PDEs · Mathematics 2019-06-05 Antonin Della Noce , Amélie Mathieu , Paul-Henry Cournède

The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investigation of complex contagions can provide crucial insights into…

Social and Information Networks · Computer Science 2015-03-19 Sergey Melnik , Jonathan A. Ward , James P. Gleeson , Mason A. Porter