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The evolution of epidemiological parameters, such as instantaneous reproduction number Rt, is important for understanding the transmission dynamics of infectious diseases. Current estimates of time-varying epidemiological parameters often…

应用统计 · 统计学 2021-10-26 Xian Yang , Shuo Wang , Yuting Xing , Ling Li , Richard Yi Da Xu , Karl J. Friston , Yike Guo

Threshold-driven models and game theory are two fundamental paradigms for describing human interactions in social systems. However, in mimicking social contagion processes, models that simultaneously incorporate these two mechanisms have…

物理与社会 · 物理学 2024-10-22 Xincheng Shu , Man Yang , Zhongyuan Ruan , Qi Xuan

This paper is motivated by studies in neuroscience experiments to understand interactions between nodes in a brain network using different types of data modalities that capture different distinct facets of brain activity. To assess…

In simulations of fluid motion time accuracy has proven to be elusive. We seek highly accurate methods with strong enough stability properties to deal with the richness of scales of many flows. These methods must also be easy to implement…

数值分析 · 数学 2020-10-14 Victor DeCaria , Sigal Gottlieb , Zachary J. Grant , William J. Layton

Network structure can affect when and how widely new ideas, products, and behaviors are adopted. In widely-used models of biological contagion, interventions that randomly rewire edges (on average making them "longer") accelerate spread.…

社会与信息网络 · 计算机科学 2023-08-22 Dean Eckles , Elchanan Mossel , M. Amin Rahimian , Subhabrata Sen

The spread of traffic jams in urban networks has long been viewed as a complex spatio-temporal phenomenon that often requires computationally intensive microscopic models for analysis purposes. In this study, we present a framework to…

Modeling epidemic spread is critical for informing policy decisions aimed at mitigation. Accordingly, in this work we present a new data-driven method based on Gaussian process regression (GPR) to model epidemic spread through the…

机器学习 · 统计学 2025-06-23 Baike She , Lei Xin , Philip E. Paré , Matthew Hale

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

物理与社会 · 物理学 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

统计方法学 · 统计学 2016-07-04 Abhik Ghosh , Ayanendranath Basu

In this paper we consider a model based on branching process theory for the proliferation and the dissemination network of T cells in the adaptive immune response. A multi-type Galton Watson branching process is assumed as the basic…

定量方法 · 定量生物学 2015-06-09 Alessandro Boianelli , Antonio Vicino

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

物理与社会 · 物理学 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai

We introduce graph gamma process (GGP) linear dynamical systems to model real-valued multivariate time series. For temporal pattern discovery, the latent representation under the model is used to decompose the time series into a…

统计方法学 · 统计学 2020-07-28 Rahi Kalantari , Mingyuan Zhou

In this paper, we proposed a new lifetime distribution namely generalized weighted Lindley (GLW) distribution. The GLW distribution is a useful generalization of the weighted Lindley distribution, which accommodates increasing, decreasing,…

统计理论 · 数学 2016-07-20 P. L. Ramos , F. Louzada

Understanding how the collective activity of neural populations relates to computation and ultimately behavior is a key goal in neuroscience. To this end, statistical methods which describe high-dimensional neural time series in terms of…

神经元与认知 · 定量生物学 2025-01-14 Amber Hu , David Zoltowski , Aditya Nair , David Anderson , Lea Duncker , Scott Linderman

In this paper, we introduce a general framework for co-infection as cooperative SIR dynamics. We first solve analytically CGCG model [1] and then the generalized model in symmetric scenarios. We calculate transition points, order parameter,…

种群与进化 · 定量生物学 2019-07-24 Fatemeh Zarei , Saman Moghimi-Araghi , Fakhteh Ghanbarnejad

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

社会与信息网络 · 计算机科学 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

Rule-based models have been successfully used to represent different aspects of the COVID-19 pandemic, including age, testing, hospitalisation, lockdowns, immunity, infectivity, behaviour, mobility and vaccination of individuals. These…

种群与进化 · 定量生物学 2022-10-25 David Alonso , Steffen Bauer , Markus Kirkilionis , Lisa Maria Kreusser , Luca Sbano

Threshold models try to explain the consequences of social influence like the spread of fads and opinions. Along with models of epidemics, they constitute a major theoretical framework of social spreading processes. In threshold models on…

物理与社会 · 物理学 2014-08-27 Fariba Karimi , Petter Holme

In this paper, we first propose a diffusive pathogen infection model with general incidence rate which incorporates cell-to-cell transmission. By applying the theory of monotone dynamical systems, we prove that the model admits the global…

偏微分方程分析 · 数学 2026-02-24 Shohel Ahmed

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…

物理与社会 · 物理学 2014-01-28 Pouya Manshour , Afshin Montakhab