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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

The new coronavirus known as COVID-19 is spread world-wide since December 2019. Without any vaccination or medicine, the means of controlling it are limited to quarantine and social distancing. Here we study the spatio-temporal propagation…

物理与社会 · 物理学 2020-12-02 Bnaya Gross , Zhiguo Zheng , Shiyan Liu , Xiaoqi Chen , Alon Sela , Jianxin Li , Daqing Li , Shlomo Havlin

In late December 2019, a novel strand of Coronavirus (SARS-CoV-2) causing a severe, potentially fatal respiratory syndrome (COVID-19) was identified in Wuhan, Hubei Province, China and is causing outbreaks in multiple world countries, soon…

We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic reproduction number threshold, we study the local stability…

种群与进化 · 定量生物学 2020-05-05 Faical Ndairou , Ivan Area , Juan J. Nieto , Delfim F. M. Torres

Epidemics have shaped human history, often with devastating consequences, motivating the development of mathematical models to understand and control their dynamics. Among the many aspects of epidemic behavior, the conditions that lead to…

种群与进化 · 定量生物学 2026-05-01 Germano Hartmann Brill , Pablo Enrique Jurado Silvestrin , Sebastian Gonçalves

In this paper, we conduct mathematical and numerical analyses to address the following crucial questions for COVID-19: (Q1) Is it possible to contain COVID-19? (Q2) When will be the peak and the end of the epidemic? (Q3) How do the…

种群与进化 · 定量生物学 2020-09-22 Yi-Cheng Chen , Ping-En Lu , Cheng-Shang Chang , Tzu-Hsuan Liu

This paper focuses on the analysis of a stochastic SAIRS-type epidemic model that explicitly incorporates the roles of asymptomatic and symptomatic infectious individuals in disease transmission dynamics. Asymptomatic carriers, often…

种群与进化 · 定量生物学 2025-01-14 Brahim Boukanjime , Mohamed El Fatini , Mohamed Maama

For preventing the spread of epidemics such as the coronavirus disease COVID-19, social distancing and the isolation of infected persons are crucial. However, existing reaction-diffusion equations for epidemic spreading are incapable of…

种群与进化 · 定量生物学 2020-11-18 Michael te Vrugt , Jens Bickmann , Raphael Wittkowski

Using a simple economic model in which social-distancing reduces contagion, we study the implications of waning immunity for the epidemiological dynamics and social activity. If immunity wanes, we find that COVID-19 likely becomes endemic…

综合经济学 · 经济学 2020-08-10 M. Alper Çenesiz , Luís Guimarães

Time varying susceptibility of host at individual level due to waning and boosting immunity is known to induce rich long-term behavior of disease transmission dynamics. Meanwhile, the impact of the time varying heterogeneity of host…

种群与进化 · 定量生物学 2018-08-28 Yukihiko Nakata , Ryosuke Omori

The novel coronavirus SARS-CoV-2, commonly referred to as COVID-19, triggered the global pandemic. Although the nature of the international spread of infection is an important issue, extracting diffusion networks from observations is…

社会与信息网络 · 计算机科学 2024-01-12 Hiroyasu Inoue , Wataru Souma , Yoshi Fujiwara

We introduce and study a model stemming from game theory for the spread of an epidemic throughout a given population. Each agent is allowed to choose an action whose value dictates to what extent they limit their social interactions, if at…

概率论 · 数学 2023-03-20 Sayar Karmakar , Moumanti Podder , Souvik Roy , Soumyarup Sadhukhan

We consider the pandemic spreading of COVID-19 in India after the outbreak of the coronavirus in Wuhan city, China. We estimate the transmission rate of the initial infecting individuals of COVID-19 in India by using the officially reported…

种群与进化 · 定量生物学 2020-12-09 R. Gopal , V. K. Chandrasekar , M. Lakshmanan

The Susceptible-Infected-Recovered (SIR) model is the cornerstone of epidemiological models. However, this specification depends on two parameters only, which implies a lack of flexibility and the difficulty to replicate the volatile…

种群与进化 · 定量生物学 2020-11-17 Christian Gourieroux , Yang Lu

Based on the SIRD-model a new model including time-delay is proposed for a description of the outbreak of the novel coronavirus Sars-CoV-2 pandemic. All data were analysed by representing all quantities as a function of the susceptible…

种群与进化 · 定量生物学 2024-08-16 Olivier Merlo

For a two-dimensional system of agents modeled by molecular dynamics, we simulate epidemics spreading, which was recently studied on complex networks. Our resulting network model is time-evolving. We study the transitions to spreading as…

统计力学 · 物理学 2009-11-10 M. C. Gonzalez , H. J. Herrmann

We analyze infection spreading processes in a system where only a fraction $p$ of individuals can be affected by disease, while remaining $1-p$ individuals are immune. Such a picture can emerge as a natural consequence of previously…

无序系统与神经网络 · 物理学 2021-12-06 V. Blavatska , Yu. Holovatch

We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

数值分析 · 数学 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

The COVID-19 pandemic has been a great catastrophe that upended human lives and caused millions of deaths all over the world. The rapid spread of the virus, with its early-stage exponential growth and subsequent 'waves', caught many medical…

种群与进化 · 定量生物学 2022-05-31 Anne V. Ginzburg , Valeriy V. Ginzburg , Julia O. Ginzburg , Ana Garcia Arias , Leela Rakesh

Infectious diseases are a significant threat to human society which was over sighted before the incidence of COVID-19, although according to the report of the World Health Organisation (WHO) about 4.2 million people die annually due to…

物理与社会 · 物理学 2021-02-05 Md Shahzamal , Saeed Khan