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The SEIRS model, an extension of the SEIR model for analyzing and predicting the spread of virus infection, was further extended to consider the movement of people across regions. In contrast to previous models that con-sider the risk of…

Medical Physics · Physics 2021-07-01 Yukio Ohsawa , Teruaki Hayashi , Sae Kondo

This paper develops an individual-based stochastic network SIR model for the empirical analysis of the Covid-19 pandemic. It derives moment conditions for the number of infected and active cases for single as well as multigroup epidemic…

Econometrics · Economics 2022-01-05 M. Hashem Pesaran , Cynthia Fan Yang

We propose a risk measure and construct an infectious diseases hazard map for India. Given an outbreak location, a hazard index is assigned to each city using an effective distance that depends on inter-city mobilities instead of…

Populations and Evolution · Quantitative Biology 2021-11-18 Onkar Sadekar , Mansi Budamagunta , G. J. Sreejith , Sachin Jain , M. S. Santhanam

The unprecedented coronavirus disease 2019 (COVID-19) pandemic is still a worldwide threat to human life since its invasion into the daily lives of the public in the first several months of 2020. Predicting the size of confirmed cases is…

Applications · Statistics 2020-12-02 Xinyu Wang , Lu Yang , Hong Zhang , Zhouwang Yang , Catherine Liu

In this article, we model and study the spread of COVID-19 in Germany, Japan, India and highly impacted states in India, i.e., in Delhi, Maharashtra, West Bengal, Kerala and Karnataka. We consider recorded data published in Worldometers and…

Physics and Society · Physics 2022-03-15 Ian Cooper , Argha Mondal , Chris G. Antonopoulos , Arindam Mishra

The COVID-19 pandemic is one of the most pressing issues at present. A question which is particularly important for governments and policy makers is the following: Does the virus spread in the same way in different countries? Or are there…

Methodology · Statistics 2020-08-05 Marina Khismatullina , Michael Vogt

It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major roads have enhanced its propagation in Italy. We propose a new simple model of…

Analysis of PDEs · Mathematics 2020-11-16 Henri Berestycki , Jean-Michel Roquejoffre , Luca Rossi

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…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Sheng Li , Meng Meng , Hongru Ma

Since the beginning of the COVID-19 spreading, the number of studies on the epidemic models increased dramatically. It is important for policymakers to know how the disease will spread and what are the effects of the policies and…

Physics and Society · Physics 2022-01-06 Hao Liao , Ziqiang Wu , Alexandre Vidmer , Mingyang Zhou , Wei Chen

Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

We present a study of the worldwide spread of a pandemic influenza and its possible containment at a global level taking into account all available information on air travel. We studied a metapopulation stochastic epidemic model on a global…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Vittoria Colizza , Alain Barrat , Marc Barthelemy , Alain-Jacques Valleron , Alessandro Vespignani

Infectious diseases cause more than 13 million deaths a year, worldwide. Globalization, urbanization, climate change, and ecological pressures have significantly increased the risk of a global pandemic. The ongoing COVID-19 pandemic-the…

Computers and Society · Computer Science 2021-04-23 Elizabeth Bradley , Madhav Marathe , Melanie Moses , William D Gropp , Daniel Lopresti

The global spread of pandemics is facilitated by the mobility of populations, transforming localized infections into widespread phenomena. To contain it, timely identification of influential regions that accelerate this process is…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Sudeepini Darapu , Subrata Ghosh , Dibakar Ghosh , Chittaranjan Hens , Santosh Nannuru

COVID-19--a viral infectious disease--has quickly emerged as a global pandemic infecting millions of people with a significant number of deaths across the globe. The symptoms of this disease vary widely. Depending on the symptoms an…

Populations and Evolution · Quantitative Biology 2020-07-23 Madhab Barman , Snigdhashree Nayak , Manoj K. Yadav , Soumyendu Raha , Nachiketa Mishra

Disease propagation between countries strongly depends on their effective distance, a measure derived from the world air transportation network (WAN). It reduces the complex spreading patterns of a pandemic to a wave-like propagation from…

A pandemic is the spread of a disease across large regions, and can have devastating costs to the society in terms of health, economic and social. As such, the study of effective pandemic mitigation strategies can yield significant positive…

Artificial Intelligence · Computer Science 2024-10-02 Ari Gestetner , Buser Say

The importance of modeling the spread of epidemics through a population has led to the development of mathematical models for infectious disease propagation. A number of empirical studies have collected and analyzed data on contacts between…

Social and Information Networks · Computer Science 2017-07-28 Rehan Ahmad , Kevin S. Xu

Epidemics like Covid-19 and Ebola have impacted people's lives significantly. The impact of mobility of people across the countries or states in the spread of epidemics has been significant. The spread of disease due to factors local to the…

Populations and Evolution · Quantitative Biology 2022-05-04 Nirmal Kumar Sivaraman , Manas Gaur , Shivansh Baijal , Sakthi Balan Muthiah , Amit Sheth

Transportation networks play a critical part in the spread of infectious diseases between populations. In this work, we define a networked susceptible-exposed-infected-recovered epidemic process with loss of immunity over time (SEIRS) that…

Optimization and Control · Mathematics 2023-09-22 Brooks A. Butler , Raphael Stern , Philip E. Paré

The last three years have been an extraordinary time with the Covid-19 pandemic killing millions, affecting and distressing billions of people worldwide. Authorities took various measures such as turning school and work to remote and…

Computers and Society · Computer Science 2023-02-08 Meliksah Turker , Haluk O. Bingol