scholarly journals The Mathematics of the Contagion: Applications of the SIR Model in the Study of Pandemics

2020 ◽  
Vol 6 (1) ◽  
pp. 23-42
Author(s):  
Marta Covadonga Mora-Aguilar ◽  
Joaquín Cerdá Boluda
Keyword(s):  
Sir Model

Endemic SIR model in random media with applications

2018 ◽  
Vol 7 (2) ◽  
Author(s):  
Anatoliy Swishchuk
Keyword(s):  
Random Media ◽  
Sir Model

SIR model

2018 ◽  
Keyword(s):  
Sir Model

Wuhan City Lockdown and Nationwide Intensive Community Screening Are Effective in Controlling COVID-19 Epidemic: Analysis Based on a Modified SIR Model

2020 ◽  
Author(s):  
Tailai Peng ◽  
Xinhao Liu ◽  
Hefeng Ni ◽  
Zhe Cui ◽  
Lei Du
Keyword(s):  
Sir Model ◽  
Wuhan City ◽  
Community Screening

scholarly journals Time fused coefficient SIR model with application to COVID-19 epidemic in the United States

2021 ◽  
pp. 1-15
Author(s):  
Hou-Cheng Yang ◽  
Yishu Xue ◽  
Yuqing Pan ◽  
Qingyang Liu ◽  
Guanyu Hu
Keyword(s):  
United States ◽  
The United States ◽  
Sir Model

Comments on some analytical and numerical aspects of the SIR model

2021 ◽  
Vol 95 ◽  
pp. 236-243
Author(s):  
Dimiter Prodanov
Keyword(s):  
Sir Model

scholarly journals Fractional SIR-Model for Estimating Transmission Dynamics of COVID-19 in India

J ◽  
2021 ◽  
Vol 4 (2) ◽  
pp. 86-100
Author(s):  
Nita H. Shah ◽  
Ankush H. Suthar ◽  
Ekta N. Jayswal ◽  
Ankit Sikarwar
Keyword(s):  
Basic Reproduction Number ◽  
Reproduction Number ◽  
Transmission Rate ◽  
Sir Model ◽  
Time Dependent ◽  
Contact Rate ◽  
Distribution Maps ◽  
Fundamental Parameters ◽  
Different Order ◽  
The Basic Reproduction Number

In this article, a time-dependent susceptible-infected-recovered (SIR) model is constructed to investigate the transmission rate of COVID-19 in various regions of India. The model included the fundamental parameters on which the transmission rate of the infection is dependent, like the population density, contact rate, recovery rate, and intensity of the infection in the respective region. Looking at the great diversity in different geographic locations in India, we determined to calculate the basic reproduction number for all Indian districts based on the COVID-19 data till 7 July 2020. By preparing district-wise spatial distribution maps with the help of ArcGIS 10.2, the model was employed to show the effect of complete lockdown on the transmission rate of the COVID-19 infection in Indian districts. Moreover, with the model's transformation to the fractional ordered dynamical system, we found that the nature of the proposed SIR model is different for the different order of the systems. The sensitivity analysis of the basic reproduction number is done graphically which forecasts the change in the transmission rate of COVID-19 infection with change in different parameters. In the numerical simulation section, oscillations and variations in the model compartments are shown for two different situations, with and without lockdown.

scholarly journals A Modified SIR Model for the COVID-19 Contagion in Italy

2020 ◽  
Author(s):  
Giuseppe C. Calafiore ◽  
Carlo Novara ◽  
Corrado Possieri
Keyword(s):  
Sir Model

scholarly journals An adaptive social distancing SIR model for COVID-19 disease spreading and forecasting

2021 ◽  
Vol 10 (s1) ◽  
Author(s):  
Said Gounane ◽  
Yassir Barkouch ◽  
Abdelghafour Atlas ◽  
Mostafa Bendahmane ◽  
Fahd Karami ◽  
...  
Keyword(s):  
Mathematical Theory ◽  
Real Data ◽  
Sir Model ◽  
Epidemic Threshold ◽  
Social Distancing ◽  
Sir Epidemic ◽  
Proposed Model ◽  
Disease Spreading ◽  
The Government ◽  
The Impact

Abstract Recently, various mathematical models have been proposed to model COVID-19 outbreak. These models are an effective tool to study the mechanisms of coronavirus spreading and to predict the future course of COVID-19 disease. They are also used to evaluate strategies to control this pandemic. Generally, SIR compartmental models are appropriate for understanding and predicting the dynamics of infectious diseases like COVID-19. The classical SIR model is initially introduced by Kermack and McKendrick (cf. (Anderson, R. M. 1991. “Discussion: the Kermack–McKendrick Epidemic Threshold Theorem.” Bulletin of Mathematical Biology 53 (1): 3–32; Kermack, W. O., and A. G. McKendrick. 1927. “A Contribution to the Mathematical Theory of Epidemics.” Proceedings of the Royal Society 115 (772): 700–21)) to describe the evolution of the susceptible, infected and recovered compartment. Focused on the impact of public policies designed to contain this pandemic, we develop a new nonlinear SIR epidemic problem modeling the spreading of coronavirus under the effect of a social distancing induced by the government measures to stop coronavirus spreading. To find the parameters adopted for each country (for e.g. Germany, Spain, Italy, France, Algeria and Morocco) we fit the proposed model with respect to the actual real data. We also evaluate the government measures in each country with respect to the evolution of the pandemic. Our numerical simulations can be used to provide an effective tool for predicting the spread of the disease.

scholarly journals SARS-COV-2: SIR Model Limitations and Predictive Constraints

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 676
Author(s):  
Charles Roberto Telles ◽  
Henrique Lopes ◽  
Diogo Franco
Keyword(s):  
Time Series Data ◽  
Data Extraction ◽  
Sir Model ◽  
Series Data ◽  
Atmospheric Conditions ◽  
Main Research ◽  
Outdoor Spaces ◽  
Model Equations ◽  
Physical Features ◽  
Indoor And Outdoor

Background: The main purpose of this research is to describe the mathematical asymmetric patterns of susceptible, infectious, or recovered (SIR) model equation application in the light of coronavirus disease 2019 (COVID-19) skewness patterns worldwide. Methods: The research modeled severe acute respiratory syndrome coronavirus 2 (SARS-COV-2) spreading and dissemination patterns sensitivity by redesigning time series data extraction of daily new cases in terms of deviation consistency concerning variables that sustain COVID-19 transmission. The approach opened a new scenario where seasonality forcing behavior was introduced to understand SARS-COV-2 non-linear dynamics due to heterogeneity and confounding epidemics scenarios. Results: The main research results are the elucidation of three birth- and death-forced seasonality persistence phases that can explain COVID-19 skew patterns worldwide. They are presented in the following order: (1) the environmental variables (Earth seasons and atmospheric conditions); (2) health policies and adult learning education (HPALE) interventions; (3) urban spaces (local indoor and outdoor spaces for transit and social-cultural interactions, public or private, with natural physical features (river, lake, terrain). Conclusions: Three forced seasonality phases (positive to negative skew) phases were pointed out as a theoretical framework to explain uncertainty found in the predictive SIR model equations that might diverge in outcomes expected to express the disease’s behaviour.

Traveling waves in a nonlocal dispersal SIR model with non-monotone incidence

2021 ◽  
Vol 95 ◽  
pp. 105629
Author(s):  
Yan-Xia Feng ◽  
Wan-Tong Li ◽  
Fei-Ying Yang
Keyword(s):  
Traveling Waves ◽  
Sir Model ◽  
Nonlocal Dispersal
Sign in / Sign up

Export Citation Format

Share Document