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Compartmental Nonlinear Epidemic Disease Model with Mixed Behavior.

Authors :
Dias, Samaherni
Queiroz, Kurios
Araujo, Aldayr
Source :
Journal of Control, Automation & Electrical Systems; Oct2024, Vol. 35 Issue 5, p839-860, 22p
Publication Year :
2024

Abstract

The researchers believe that the number of epidemic diseases will increase in the twenty-first century. The recent virus histories, Sars-CoV, H1N1/09, MERS-CoV, Zika, Sars-CoV-2, point to this new reality. We need to be prepared to give a fast and precise response to the new epidemic diseases. We need to improve the responses because the current measures are so expensive in all aspects. To help with this new demand, we propose an epidemic model developed with a focus on control applications. The proposed model describes epidemic diseases split into unlimited compartments defined by classes (biological aspects) and groups (populational aspects) that are independent. It divides the population into clusters of individuals with homogeneous behavior. The high flexibility of the proposed model gives it the versatility needed in control applications. Moreover, the proposed model is an epidemic model with a deterministic behavior that presents an approximation for stochastic effects, contemplates the individuals' contact network effects, and its structure is ready for the big-data age. In this work, we analyzed, showed the mathematical properties, and simulated the proposed compartmental epidemic disease model to detail for the reader how the model works and how to use it. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
21953880
Volume :
35
Issue :
5
Database :
Complementary Index
Journal :
Journal of Control, Automation & Electrical Systems
Publication Type :
Academic Journal
Accession number :
179505209
Full Text :
https://doi.org/10.1007/s40313-024-01102-z