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The transmission rate of many acute infectious diseases varies significantly in time, but the underlying mechanisms are usually uncertain. They may include seasonal changes in the environment, contact rate, immune system response, etc. The…

Quantitative Methods · Quantitative Biology 2011-06-17 Mark Pollicott , Hao Wang , Howie Weiss

Dynamic properties of spreading infection through a heterogeneous population are studied numerically and analytically using a dynamic variant of Watts and Strogatz Small World Network-based stochastic Susceptible-Exposed-Infectious-Removed…

Populations and Evolution · Quantitative Biology 2019-06-28 O. Mosbah , N. Zekri , M. Mokhtari , S. Sahraoui

When an infectious disease strikes a population, the number of newly reported cases is often the only available information that one can obtain during early stages of the outbreak. An important goal of early outbreak analysis is to obtain a…

Quantitative Methods · Quantitative Biology 2013-05-30 Bahman Davoudi , Babak Pourbohloul , Joel Miller , Rafael Meza , Lauren Ancel Meyers , David J. D. Earn

Human crowds exhibit a wide range of interesting patterns, and measuring them is of great interest in areas ranging from psychology and social science to civil engineering. While \textit{in situ} measurements of human crowd patterns require…

Adaptation and Self-Organizing Systems · Physics 2023-12-29 Zexu Li , Lei Fang

In this paper, we are concerned with two SIS epidemic reaction-diffusion models with mass action infection mechanism of the form $SI$, and study the spatial profile of population distribution as the movement rate of the infected individuals…

Analysis of PDEs · Mathematics 2023-01-04 Rui Peng , Zhi-an Wang , Guanghui Zhang , Maolin Zhou

State-of-the-art multi-object tracking~(MOT) methods follow the tracking-by-detection paradigm, where object trajectories are obtained by associating per-frame outputs of object detectors. In crowded scenes, however, detectors often fail to…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Weihong Ren , Xinchao Wang , Jiandong Tian , Yandong Tang , Antoni B. Chan

The recent outbreak of a novel coronavirus and its rapid spread underlines the importance of understanding human mobility. Enclosed spaces, such as public transport vehicles (e.g. buses and trains), offer a suitable environment for…

Social and Information Networks · Computer Science 2020-04-06 Ahmad El Shoghri , Jessica Liebig , Raja Jurdak , Lauren Gardner , Salil S. Kanhere

We propose an SIR epidemic model coupled with opinion dynamics to study an epidemic and opinions spreading in a network of communities. Our model couples networked SIR epidemic dynamics with opinions towards the severity of the epidemic,…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Humphrey C. H. Leung , Shreyas Sundaram , Philip E. Paré

One of the most effective strategies to mitigate the global spreading of a pandemic (e.g., COVID-19) is to shut down international airports. From a network theory perspective, this is since international airports and flights, essentially…

Physics and Society · Physics 2023-10-24 Jing Ma , Xiangyi Meng , Lidia A. Braunstein

The metro system is playing an increasingly important role in the urban public transit network, transferring a massive human flow across space everyday in the city. In recent years, extensive research studies have been conducted to improve…

Machine Learning · Computer Science 2020-09-08 Xiancai Tian , Chen Zhang , Baihua Zheng

The infection dynamics of a population under stationary isolation conditions is modeled. It is underlined that the stationary character of the isolation measures can be expected to imply that an effective SIR model with constant parameters…

Populations and Evolution · Quantitative Biology 2021-10-19 Alejandro Cabo Montes de Oca , Nana Geraldine Cabo Bizet

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers

Pedestrian trajectory prediction is a critical to avoid autonomous driving collision. But this prediction is a challenging problem due to social forces and cluttered scenes. Such human-human and human-space interactions lead to many…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Xiong Dan

During an infectious disease outbreak, public health decision-makers require real-time monitoring of disease transmission to respond quickly and intelligently. In these settings, a key measure of transmission is the instantaneous…

Methodology · Statistics 2025-02-07 Gary Hettinger , David Rubin , Jing Huang

This paper investigates the identifiability of a spatial mathematical model of the spread of fast-moving epidemics based on the law of acting masses and diffusion processes. The research algorithm is based on global methods of Sobol…

Optimization and Control · Mathematics 2024-12-30 Olga Krivorotko , Tatiana Zvonareva , Andrei Neverov

Two simple agent based models are often employed in epidemic studies: the susceptible-infected (SI) and the susceptible-infected-susceptible (SIS). Both models describe the time evolution of infectious diseases in networks in which vertices…

The rapidly spreading Covid-19 that affected almost all countries, was first reported at the end of 2019. As a consequence of its highly infectious nature, countries all over the world have imposed extremely strict measures to control its…

Populations and Evolution · Quantitative Biology 2020-07-13 Semra Ahmetolan , Ayse Humeyra Bilge , Ali Demirci , Ayse Peker-Dobie , Onder Ergonul

We consider an individual-based SIR stochastic epidemic model in continuous space. The evolution of the epidemic involves the rates of infection and cure of individuals. We assume that individuals move randomly on the two-dimensional torus…

Probability · Mathematics 2020-07-15 Samuel Bowong Tsakou , Alphonse Emakoua , Etienne Pardoux

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

Predicting crowd intentions and trajectories is critical for a range of real-world applications, involving social robotics and autonomous driving. Accurately modeling such behavior remains challenging due to the complexity of pairwise…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Weizheng Wang , Baijian Yang , Sungeun Hong , Wenhai Sun , Byung-Cheol Min