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The worldwide spread of COVID-19 has called for fast advancement of new modelling strategies to estimate its unprecedented spread. Here, we introduce a model based on the fundamental SIR equations with a stochastic disorder by a random…

物理与社会 · 物理学 2020-04-28 Suman Dutta

Infectious disease modeling and forecasting have played a key role in helping assess and respond to epidemics and pandemics. Recent work has leveraged data on disease peak infection and peak hospital incidence to fit compartmental models…

A study of changes in the transmission of a disease, in particular, a new disease like COVID-19, requires very flexible models which can capture, among others, the effects of non-pharmacological and pharmacological measures, changes in…

统计方法学 · 统计学 2026-05-07 Hristo Inouzhe , María Xosé Rodríguez-Álvarez , Lorenzo Nagar , Elena Akhmatskaya

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

物理与社会 · 物理学 2020-09-08 Bnaya Gross , Shlomo Havlin

Seasonal variations in the incidence of infectious diseases are a well-established phenomenon, driven by factors such as climate changes, social behaviors, and ecological interactions that influence host susceptibility and transmission…

种群与进化 · 定量生物学 2024-10-23 Mahmudul Bari Hridoy

We define and study an open stochastic SIR (Susceptible -- Infected -- Removed) model on a graph in order to describe the spread of an epidemic on a cattle trade network with epidemiological and demographic dynamics occurring over the same…

概率论 · 数学 2019-03-28 Pierre Montagnon

We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe…

物理与社会 · 物理学 2022-12-08 S. P. Lukyanets , I. S. Gandzha , O. V. Kliushnichenko

We extend the classical SIR model of infectious disease spread to account for time dependence in the parameters, which also include diffusivities. The temporal dependence accounts for the changing characteristics of testing, quarantine and…

种群与进化 · 定量生物学 2020-07-03 Zhenlin Wang , Xiaoxuan Zhang , Gregory Teichert , Mariana Carrasco-Teja , Krishna Garikipati

Current efforts of modelling COVID-19 are often based on the standard compartmental models such as SEIR and their variations. As pre-symptomatic and asymptomatic cases can spread the disease between populations through travel, it is…

物理与社会 · 物理学 2020-10-06 Xiaoye Ding , Shenyang Huang , Abby Leung , Reihaneh Rabbany

As global living standards improve and medical technology advances, many infectious diseases have been effectively controlled. However, certain diseases, such as the recent COVID-19 pandemic, continue to pose significant threats to public…

数值分析 · 数学 2025-02-24 Ayesha Baig , Li Zhouxin

In the recent COVID-19 pandemic we assisted at a sequence of epidemic waves intertwined by anomalous fade-outs with periods of low but persistent epidemic prevalence. These long-living epidemic states complicate epidemic control and…

物理与社会 · 物理学 2025-08-27 Javier Aguilar , Beatriz Arregui García , Raúl Toral , Sandro Meloni , Jose J. Ramasco

A reasonable prediction of infectious diseases transmission process under different disease control strategies is an important reference point for policy makers. Here we established a dynamic transmission model via Python and realized…

种群与进化 · 定量生物学 2021-02-23 Yuxuan Zhang , Chen Gong , Dawei Li , Zhi-Wei Wang , Shengda D Pu , Alex W Robertson , Hong Yu , John Parrington

In this paper we propose a novel SEIR stochastic epidemic model. A distinguishing feature of this new model is that it allows us to consider a set up under general latency and infectious period distributions. To some extent, queuing systems…

Stochastic state-transition models of infectious disease transmission can be used to deduce relevant drivers of transmission when fitted to data using statistically principled methods. Fitting this individual-level data requires inference…

统计方法学 · 统计学 2026-02-12 James Neill , Lloyd A. C. Chapman , Chris Jewell

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…

物理与社会 · 物理学 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

With the outbreak of COVID-19, how to mitigate and suppress its spread is a big issue to the government. Department of public health need powerful models to model and predict the trend and scale of such pandemic. And models that could…

计算工程、金融与科学 · 计算机科学 2020-12-08 Wang Pan , Qipu Deng , Jiadong Li , Zhi Wang , Wenwu Zhu

The Susceptible-Exposed-Infectious-Recovered (SEIR) model is applied in several countries to ascertain the spread of the coronavirus disease 2019 (COVID-19). We consider discrete-time SEIR epidemic model in a closed system which does not…

动力系统 · 数学 2021-05-04 U. A. Rozikov , S. K. Shoyimardonov

In this work, we aim to formalize a novel scientific machine learning framework to reconstruct the hidden dynamics of the transmission rate, whose inaccurate extrapolation can significantly impair the quality of the epidemic forecasts, by…

定量方法 · 定量生物学 2024-10-16 Giovanni Ziarelli , Stefano Pagani , Nicola Parolini , Francesco Regazzoni , Marco Verani

Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR)…

物理与社会 · 物理学 2019-08-22 Akari Matsuki , Gouhei Tanaka

Mathematical models are traditionally used to analyze the long-term global evolution of epidemics, to determine the potential and severity of an outbreak, and to provide critical information for identifying the type of disease interventions…

数值分析 · 数学 2020-04-28 Ognyan Kounchev , Georgi Simeonov , Zhana Kuncheva