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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 5/2022

03-11-2021 | Original Research

An epidemic model with transport-related infection incorporating awareness and screening

Authors: Assefa Denekew Zewdie, Sunita Gakkhar

Published in: Journal of Applied Mathematics and Computing | Issue 5/2022

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Abstract

In this paper, an SWEIQR epidemic model with transport-related infection is proposed. The model considers inter-patch travel with entry-departure screening. The reproduction number, \(R_{ed}^\phi \), is computed and analyzed with respect to awareness and screening parameters. The analytic computations show that the disease-free equilibrium in the absence of travel is globally asymptotically stable when \(R_\omega \le 1\) and unstable otherwise. The trans-critical bifurcation occurs at \(R_\omega =1\) and the locally stable endemic equilibrium point appears if \(R_\omega >1\) near to \(R_\omega =1\). The numerical simulations are performed to verify the analytical computation and explore the dynamic behavior with respect to different model parameters. The result shows that disseminating awareness through the population reduces the spread of disease. Furthermore, the full model results show that the departure screening may reduce the spread of disease in each patch.
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Appendix
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Metadata
Title
An epidemic model with transport-related infection incorporating awareness and screening
Authors
Assefa Denekew Zewdie
Sunita Gakkhar
Publication date
03-11-2021
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 5/2022
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-021-01653-3

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