scholarly journals A new SEIR epidemic model with applications to the theory of eradication and control of diseases, and to the calculation of

2008 ◽  
Vol 215 (1) ◽  
pp. 84-104 ◽  
Author(s):  
Sen-Zhong Huang
Keyword(s):  
Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Zun-Guang Guo ◽  
Jing Li ◽  
Can Li ◽  
Juan Liang ◽  
Yiwei Yan

In this paper, we investigate pattern dynamics of a nonlocal delay SI epidemic model with the growth of susceptible population following logistic mode. Applying the linear stability theory, the condition that the model generates Turing instability at the endemic steady state is analyzed; then, the exact Turing domain is found in the parameter space. Additionally, numerical results show that the time delay has key effect on the spatial distribution of the infected, that is, time delay induces the system to generate stripe patterns with different spatial structures and affects the average density of the infected. The numerical simulation is consistent with the theoretical results, which provides a reference for disease prevention and control.


2021 ◽  
Vol 13(62) (2) ◽  
pp. 479-508
Author(s):  
Renu Chugh ◽  
Amit Kumar ◽  
Sudesh Kumari

The coronavirus disease 2019 (COVID-19) has been spread all over the world. There are more than 43.14 million COVID-19 confirmed cases and over 1.15 million deaths reported worldwide till October 26, 2020. As the proper treatment/vaccine is not available, most of the countries are relying on various preventive measures to check the spread of epidemic. The aim of this article is to analyze the impact of corona preventive measures on the spread of COVID-19 by employing a novel epidemic model. Moreover, time series and bifurcation analysis techniques have been used to estimate this impact. To prove the validity of our model, we apply our model on highly affected countries such as China, Italy, USA, UK and India. Our findings might be very useful tool for decision holders and policy makers to take the right decisions in a timely way to control the outbreak of COVID-19, knowing the uncertainties about the coronovirus disease. We show a good agreement between the reported data and the estimations given by our model.


2017 ◽  
Author(s):  
Santiago Alonso ◽  
Manuel De la Sen ◽  
Raul Nistal ◽  
Asier Ibeas

2004 ◽  
Vol 40 (13) ◽  
pp. 1491-1506 ◽  
Author(s):  
Yicang Zhou ◽  
Zhien Ma ◽  
F. Brauer

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