Infectious Disease Spread Analysis Using Stochastic Differential Equations for SIR Model

2013 ◽  
Author(s):  
Yoshihiro Maki ◽  
Hideo Hirose
Keyword(s):  
Infectious Disease ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Sir Model ◽  
Disease Spread ◽  
Spread Analysis

scholarly journals Fixed Point Analysis of Kermack Mckendrick SIR Model

10.29007/pl65 ◽  
2018 ◽  
Author(s):  
Fenny Narsingani ◽  
Mahendra B Prajapati ◽  
Pravin Himmatlal Bhathawala
Keyword(s):  
Infectious Disease ◽  
Fixed Point ◽  
Threshold Value ◽  
Sir Model ◽  
Disease Spread ◽  
Term Outcome ◽  
Long Term Outcome ◽  
Point Analysis ◽  
Transmission Of Disease

Public health is constantly under risk due to growing microorganisms. Infectious disease spread rapidly among the population in contact and so people take the different steps to reduce the transmission of disease. Compartmental model such as SIR model developed by W. Kermack and G Mckendrick are modeled for the progress of epidemic. Fixed point analysis has been applied to mathematical models of compartmental infectious disease models for understanding the long term outcome of disease. We have applied the analysis to the spread of infectious disease and obtained the threshold value and this threshold value helps us to predict when epidemic peaks.

scholarly journals An Economist’s Guide to Epidemiology Models of Infectious Disease

2020 ◽  
Vol 34 (4) ◽  
pp. 79-104
Author(s):  
Christopher Avery ◽  
William Bossert ◽  
Adam Clark ◽  
Glenn Ellison ◽  
Sara Fisher Ellison
Keyword(s):  
Infectious Disease ◽  
Political Economy ◽  
Disease Transmission ◽  
Sir Model ◽  
Disease Suppression ◽  
Disease Spread ◽  
High Profile ◽  
Models Of Disease ◽  
Susceptible Populations

We describe the structure and use of epidemiology models of disease transmission, with an emphasis on the susceptible/infected/recovered (SIR) model. We discuss high-profile forecasts of cases and deaths that have been based on these models, what went wrong with the early forecasts, and how they have adapted to the current COVID pandemic. We also offer three distinct areas where economists would be well positioned to contribute to or inform this epidemiology literature: modeling heterogeneity of susceptible populations in various dimensions, accommodating endogeneity of the parameters governing disease spread, and helping to understand the importance of political economy issues in disease suppression.

scholarly journals Protection Strategy for Edge-Weighted Graphs in Disease Spread

2021 ◽  
Vol 11 (11) ◽  
pp. 5115
Author(s):  
Ronald Manríquez ◽  
Camilo Guerrero-Nancuante ◽  
Carla Taramasco
Keyword(s):  
Infectious Disease ◽  
Weighted Graph ◽  
Sir Model ◽  
Disease Spread ◽  
Weighted Graphs ◽  
Fake News ◽  
Scale Free ◽  
Protection Strategy ◽  
Immunization Strategies ◽  
Scale Free Networks

Fake news, viruses on computer systems or infectious diseases on communities are some of the problems that are addressed by researchers dedicated to study complex networks. The immunization process is the solution to these challenges and hence the importance of obtaining immunization strategies that control these spreads. In this paper, we evaluate the effectiveness of the DIL-Wα ranking in the immunization of nodes that are attacked by an infectious disease that spreads on an edge-weighted graph using a graph-based SIR model. The experimentation was done on real and scale-free networks and the results illustrate the benefits of this ranking.

Stochastic Differential Equations for Power Law Behaviors

2012 ◽  
Author(s):  
Bo Jiang ◽  
Roger Brockett ◽  
Weibo Gong ◽  
Don Towsley
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Power Law

scholarly journals Strong Solution Existence for a Class of Degenerate Stochastic Differential Equations

2020 ◽  
Vol 53 (2) ◽  
pp. 2220-2224
Author(s):  
William M. McEneaney ◽  
Hidehiro Kaise ◽  
Peter M. Dower ◽  
Ruobing Zhao
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Strong Solution ◽  
Solution Existence
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