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The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the individuals' viral load in the disease transmission by proposing a new…

适应与自组织系统 · 物理学 2023-03-29 Rossella Della Marca , Nadia Loy , Andrea Tosin

A diffusive epidemic model with an infection-dependent recovery rate is formulated in this paper. Multiple constant steady states and spatially homogeneous periodic solutions are first proven by bifurcation analysis of the reaction…

动力系统 · 数学 2025-09-12 Wael El Khateeb , Chanaka Kottegoda , Chunhua Shan

Our work stems from the consideration that the spreading of a disease is modulated by the individual's perception of the infected neighborhood and his/her strategy to avoid being infected as well. We introduced a general ``cellular agent''…

种群与进化 · 定量生物学 2008-01-20 Luca Sguanci , Pietro Lio' , Franco Bagnoli

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

统计方法学 · 统计学 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these applications, we introduce a new class of multivariate…

统计理论 · 数学 2025-12-02 Maya Sadeler Perrin , Anna Bonnet , Charlotte Dion-Blanc , Adeline Samson

Measles is considered as a highly contagious disease that leads to serious complications around the world. Thus, the paper determined the trend and the five-year forecasted data of the Measles in the Philippines. This study utilized the…

计算机与社会 · 计算机科学 2021-01-06 Hidear Talirongan , Markdy Y. Orong , Florence Jean B. Talirongan

We are facing a common serious issue, infectious diseases, and trying to suppress the spreading of infection. We need less contact with each other to decrease the chance of infection, but this means loss of economic activity, as well. This…

物理与社会 · 物理学 2020-05-15 Kenichi Nakazato , Masanori Takano

Analysis of gun violence in the United States has utilized various models based on spatiotemporal point processes. Previous studies have identified a contagion effect in gun violence, characterized by bursts of diffusion across urban…

应用统计 · 统计学 2024-08-20 Zheng Dong , Yao Xie

This study explores contagion in the Chinese stock market using Hawkes processes to analyze autocorrelation and cross-correlation in multivariate time series data. We examine whether market indices exhibit trending behavior and whether…

统计金融 · 定量金融 2025-12-10 Junwei Yang

Infectious pathogens often propagate by superspreading, which focusses onward transmission on disproportionately few infected individuals. At the same time, infector-infectee pairs tend to have more similar transmission potentials than…

种群与进化 · 定量生物学 2025-09-22 Noah Silva de Leonardi , Benjamin D. Dalziel

Prior social contagion models consider the spread of either one contagion at a time on interdependent networks or multiple contagions on single layer networks or under assumptions of competition. We propose a new threshold model for the…

社会与信息网络 · 计算机科学 2018-09-13 Ho-Chun Herbert Chang , Feng Fu

The dynamic nature of system gives rise to dynamical features of epidemic spreading, such as oscillation and bistability. In this paper, by studying the epidemic spreading in growing networks, in which susceptible nodes may adaptively break…

物理与社会 · 物理学 2015-03-20 Jie Zhou , Gaoxi Xiao , Siew Ann Cheong , Xiuju Fu , Lim Soon Wong , Stefan Ma , Tee Hiang Cheng

Point process modeling is gaining increasing attention, as point process type data are emerging in numerous scientific applications. In this article, motivated by a neuronal spike trains study, we propose a novel point process regression…

统计方法学 · 统计学 2020-12-10 Xiwei Tang , Lexin Li

Stochasticity and spatial heterogeneity are of great interest recently in studying the spread of an infectious disease. The presented method solves an inverse problem to discover the effectively decisive topology of a heterogeneous network…

人工智能 · 计算机科学 2015-03-13 Yoshiharu Maeno

Concentrations of pathogen genomes measured in wastewater have recently become available as a new data source to use when modeling the spread of infectious diseases. One promising use for this data source is inference of the effective…

统计方法学 · 统计学 2024-06-24 Isaac H. Goldstein , Daniel M. Parker , Sunny Jiang , Volodymyr M. Minin

This work introduces a self and mutually exciting point process that embeds flexible residuals and intensity with discretely Markovian dynamics. By allowing the integration of diverse residual distributions, this model serves as an…

统计金融 · 定量金融 2025-04-02 Kyungsub Lee

Hawkes processes are a self-exciting stochastic process used to describe phenomena whereby past events increase the probability of the occurrence of future events. This work presents a flexible approach for modelling a variant of these,…

统计方法学 · 统计学 2022-08-08 Raiha Browning , Judith Rousseau , Kerrie Mengersen

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…

种群与进化 · 定量生物学 2019-06-28 O. Mosbah , N. Zekri , M. Mokhtari , S. Sahraoui

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

系统与控制 · 电气工程与系统科学 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

We considered a model for an infectious disease outbreak, when the depletion of susceptible individuals is negligible, and assumed that individuals adapt their behavior according to the information they receive about new cases. In line with…

种群与进化 · 定量生物学 2025-11-27 Alessia andò , Simone De Reggi , Francesca Scarabel , Rossana Vermiglio , Jianhong Wu