Modeling and Analysis of an SEIR Epidemic Model with a Limited Resource for Treatment

Al-Sheikh

Modeling and Analysis of an SEIR Epidemic Model with a Limited Resource for Treatment

Al-Sheikh * §

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King Abdulaziz University

Modeling and Analysis of an SEIR Epidemic Model with a Limited Resource for Treatment

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Abstract

In this paper an SEIR epidemic model with a limited resource for treatment is investigated. It is assumed that the treatment rate is proportional to the number of patients as long as this number is below a certain capacity and it becomes constant when that number of patients exceeds this capacity. Mathematical analysis is used to study the dynamic behavior of this model. Existence and stability of disease-free and endemic equilibria are investigated. It is shown that this kind of treatment rate leads to the existence of multiple endemic equilibria where the basic reproduction number plays a big role in determining their stability.

References

21 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Al-Sheikh. 2013. "Modeling and Analysis of an SEIR Epidemic Model with a Limited Resource for Treatment". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F14).

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GJSFR Volume 12 Issue F14

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

basic reproduction number global stability Lyapunov fu Routh-Herwitz criterion second additive compound matrix SEIR epidemic model tretment rate

Classification

GJSFR-F Classification MSC 2010: 40C05

37B25

Submission ReceivedOctober 21, 2012
Peer Review Double Blind
Handling Editor
Accepted November 15, 2012
Published November 26, 2012

Version of record

v1.2

Issue date

January 5, 2013

Language

English

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Article Matrices

Total Score: 170

Country: Saudi Arabia

Subject: Global Journal of Science Frontier Research

Authors: Dr. Sarah A. Al-Sheikh (PhD/Dr. count: 1)

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Publish Date: 2012 11, Mon

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