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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

This paper is concerned with the analysis of vaccination strategies in a stochastic SIR (susceptible $\to$ infected $\to$ removed) model for the spread of an epidemic amongst a population of individuals with a random network of social…

物理与社会 · 物理学 2016-11-16 Frank Ball , David Sirl

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

社会与信息网络 · 计算机科学 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

A stochastic SIR (susceptible $\to$ infective $\to$ recovered) epidemic model defined on a social network is analysed. The underlying social network is described by an Erd\H{o}s-R\'{e}nyi random graph but, during the course of the epidemic,…

概率论 · 数学 2020-08-17 Frank Ball , Tom Britton

In this article we propose a compartmental model for the dynamics of Coronavirus Disease 2019 (COVID-19). We take into account the presence of asymptomatic infections and the main policies that have been adopted so far to contain the…

种群与进化 · 定量生物学 2020-05-18 M. Soledad Aronna , Roberto Guglielmi , Lucas M. Moschen

This article considers the optimal control of the SIR model with both transmission and treatment uncertainty. It follows the model presented in Gatto and Schellhorn (2021). We make four significant improvements on the latter paper. First,…

最优化与控制 · 数学 2021-05-20 Yujia Ding , Henry Schellhorn

We analyze the identifiability and observability of the well-known SIR epidemic model with an additional compartment Q of the sub-population of infected individuals that are placed in quarantine (SIQR model), considering that the flow of…

How does social distancing affect the reach of an epidemic in social networks? We present Monte Carlo simulation results of a capacity constrained Susceptible-Infected-Removed (SIR) model. The key modelling feature is that individuals are…

种群与进化 · 定量生物学 2021-03-08 Gregory Gutin , Tomohiro Hirano , Sung-Ha Hwang , Philip R. Neary , Alexis Akira Toda

In the wake of epidemics, quarantine measures are typically recommended by health authorities or governments to help control the spread of the disease. Compared with mandatory quarantine, voluntary quarantine offers individuals the liberty…

物理与社会 · 物理学 2024-03-14 Simiao Shi , Zhiyuan Wang , Xingru Chen , Feng Fu

When effective medical treatment and vaccination are not available, non-pharmaceutical interventions such as social distancing, home quarantine and far-reaching shutdown of public life are the only available strategies to prevent the spread…

种群与进化 · 定量生物学 2020-08-19 Markus Kantner , Thomas Koprucki

Attempts to curb the spread of coronavirus by introducing strict quarantine measures apparently have different effect in different countries: while the number of new cases has reportedly decreased in China and South Korea, it still exhibit…

种群与进化 · 定量生物学 2020-03-24 Vitaly Volpert , Malay Banerjee , Sergei Petrovskii

We analyze an approach to managing the COVID-19 pandemic without shutting down the economy while staying within the capacity of the healthcare system. We base our analysis on a detailed heterogeneous epidemiological model, which takes into…

种群与进化 · 定量生物学 2020-05-12 David Gershon , Alexander Lipton , Hagai Levine

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

物理与社会 · 物理学 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi

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,…

系统与控制 · 电气工程与系统科学 2025-06-23 Baike She , Humphrey C. H. Leung , Shreyas Sundaram , Philip E. Paré

Recent wide spreading of Ransomware has created new challenges for cybersecurity over large-scale networks. The densely connected networks can exacerbate the spreading and makes the containment and control of the malware more challenging.…

系统与控制 · 计算机科学 2018-10-12 Vladislav Taynitskiy , Elena Gubar , Quanyan Zhu

COVID-19 pandemic has been raging all around the world for almost a year now, as of November 1, 2020. In this paper, we try to analyze the variation of the COVID-19 pandemic in different countries in the light of some modifications to the…

种群与进化 · 定量生物学 2021-09-28 Sourav Chowdhury , Suparna Roychowdhury , Indranath Chaudhuri

India is one of the worst affected countries by the Covid-19 pandemic at present. We studied publicly available data of the Covid-19 patients in India and analyzed possible impacts of quarantine and social distancing within the stochastic…

种群与进化 · 定量生物学 2020-06-12 Athokpam Langlen Chanu , R. K. Brojen Singh

Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

种群与进化 · 定量生物学 2020-12-24 Elisa Franco

We are currently facing a highly critical case of a world-wide pandemic. The novel coronavirus (SARS-CoV-2, a.k.a. COVID-19) has proved to be extremely contagious and the original outbreak from Asia has now spread to all continents. This…

物理与社会 · 物理学 2020-06-26 Priyanka , Vicky Verma

This work examines the discrete-time networked SIR (susceptible-infected-recovered) epidemic model, where the infection and recovery parameters may be time-varying. We provide a sufficient condition for the SIR model to converge to the set…

系统与控制 · 电气工程与系统科学 2021-03-01 Ciyuan Zhang , Humphrey Leung , Brooks Butler , Philip. E. Paré