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We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

物理与社会 · 物理学 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella

Epidemiological models are the mathematical models that capture the dynamics of epidemics. The spread of the virus has two routes - exogenous and endogenous. The exogenous spread is from outside the population under study, and endogenous…

社会与信息网络 · 计算机科学 2020-09-22 Nirmal Kumar Sivaraman , Manas Gaur , Shivansh Baijal , Ch V Radha Sai Rupesh , Sakthi Balan Muthiah , Amit Sheth

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

种群与进化 · 定量生物学 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

In this paper, we use a series of small world networks to simulate the epidemic spreading in the real world. To make our model more similar to the real world, we employ a parameter $p_{move}$ to denote its moving probability, which…

适应与自组织系统 · 物理学 2007-05-23 Sheng Li , Meng Meng , Hongru Ma

Epidemic models currently play a central role in our attempts to understand and control infectious diseases. Here, we derive a model for the diffusion limit of stochastic susceptible-infectious-removed (SIR) epidemic dynamics on a…

种群与进化 · 定量生物学 2013-09-30 Matthew Graham , Thomas House

Mathematical modeling of epidemic spreading has been widely adopted to estimate the threats of epidemic diseases (i.e., the COVID-19 pandemic) as well as to evaluate epidemic control interventions. The indoor place is considered to be a…

物理与社会 · 物理学 2022-09-14 Yao Xiao , Mofeng Yang , Zheng Zhu , Hai Yang , Lei Zhang , Sepehr Ghader

We present an epidemiological compartment model, SAIR(S), that explicitly captures the dynamics of asymptomatic infected individuals in an epidemic spread process. We first present a group model and then discuss networked versions. We…

种群与进化 · 定量生物学 2021-03-23 Xiaoqi Bi , Carolyn L. Beck

The paper describes and compares three approaches to modeling an epidemic spread. The first approach is a well-known system of SIR ordinary differential equations. The second is a mean-field model, in which an isolation strategy for each…

种群与进化 · 定量生物学 2024-11-06 Viktoriya Petrakova , Olga Krivorotko

The estimation from available data of parameters governing epidemics is a major challenge. In addition to usual issues (data often incomplete and noisy), epidemics of the same nature may be observed in several places or over different…

统计方法学 · 统计学 2021-09-20 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

Nowadays, one of the challenges we face when carrying out modeling of epidemic spreading is to develop methods to control disease transmission. In this article we study how the spreading of knowledge of a disease affects the propagation of…

The complex interplay between population movements in space and non-homogeneous mixing patterns have so far hindered the fundamental understanding of the conditions for spatial invasion through a general theoretical framework. To address…

物理与社会 · 物理学 2014-01-21 Andrea Apolloni , Chiara Poletto , Jose' J. Ramasco , Pablo Jensen , Vittoria Colizza

Metapopulation models have traditionally assessed epidemic dynamics by emphasizing local in situ interactions within defined subpopulations, often neglecting transmission occurring during mobility phases in itinere. Here, we extend the…

Epidemic spread in single-host systems strongly depends on the population's contact network. However, little is known regarding the spread of epidemics across networks representing populations of multiple hosts. We explored cross-species…

种群与进化 · 定量生物学 2017-12-06 Shai Pilosof , Gili Greenbaum , Boris R. Krasnov , Yuval R. Zelnik

Traditional epidemic models consider that individual processes occur at constant rates. That is, an infected individual has a constant probability per unit time of recovering from infection after contagion. This assumption certainly fails…

种群与进化 · 定量生物学 2013-03-18 Guillermo Abramson , Sebastian Gonçalves , Marcelo F. C. Gomes

We consider the spread of epidemics in technological and social networks. How do people react? Does awareness and cautious behavior help? We analyze these questions and present a dynamic model to describe the movement of individuals and/or…

社会与信息网络 · 计算机科学 2015-03-19 Robert Elsässer , Adrian Ogierman

Various theoretical models have been proposed to understand the basic nature of epidemics. Recent studies focus on the effects of mobility to epidemic process. However, uncorrelated random walk is typically assumed as the type of movement.…

种群与进化 · 定量生物学 2018-07-04 Genki Ichinose , Yoshiki Satotani , Hiroki Sayama , Takashi Nagatani

The analysis of contagion-diffusion processes in metapopulations is a powerful theoretical tool to study how mobility influences the spread of communicable diseases. Nevertheless, many metapopulation approaches use indistinguishable agents…

物理与社会 · 物理学 2022-04-20 Pablo Valgañón , David Soriano-Paños , Alex Arenas , Jesús Gómez-Gardeñes

Epidemic spreading and cascading failure are two important dynamical processes over complex networks. They have been investigated separately for a long history. But in the real world, these two dynamics sometimes may interact with each…

物理与社会 · 物理学 2015-06-19 Lurong Jiang , Xinyu Jin , Yongxiang Xia , Bo Ouyang , Duanpo Wu

Many progresses in the understanding of epidemic spreading models have been obtained thanks to numerous modeling efforts and analytical and numerical studies, considering host populations with very different structures and properties,…

物理与社会 · 物理学 2018-02-02 Antoine Moinet , Alain Barrat , Romualdo Pastor Satorras

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…