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2023 | OriginalPaper | Chapter

Qualitative Analysis of Peer Influence Effects on Testing of Infectious Disease Model

Authors : Anjali, Manoj Kumar Singh

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

Outbreaks minimization has become the need of the hour. If we start clouding the list of infectious diseases, the list will point out that there is a rise in infectious diseases in the current era, and after the first case of any illness for knowing about its spread, testing methods are introduced. So testing plays a key role, and it is necessary to detect any infectious disease effects on humans. However, the peer influence effect of persons who have recovered from disease without visiting any doctor encourages other people to not get tested and take self-medication. They do not understand the need for tests and spread fake scenarios convincing others to follow them. The paper studies the impact of these individuals on the emergence of the disease by analyzing the mathematical model proposed in the situation, which is further analyzed and studied through simulation. The analysis section comprises local and global stability of the equilibrium points, primary reproduction number, and threshold analysis of the proposed model. Numerical simulation has provided a clear view of the qualitative analysis through the graphs and the plots.

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Metadata
Title
Qualitative Analysis of Peer Influence Effects on Testing of Infectious Disease Model
Authors
Anjali
Manoj Kumar Singh
Copyright Year
2023
Publisher
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-19-7272-0_15

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