Theoretical Article

ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE

Number: 054 September 30, 2023
EN

ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE

Abstract

In this survey, we consider the dynamics of a contagious disease spread by employing a nonlinear dynamical control system of differential equations. It considers treatment and vaccination as key control parameters to discern their influence on disease control. The study, approximate the attainable sets of a given control system and presents visual results, while also discussing potential biological applications of their findings.

Keywords

References

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  7. [7] Biswas M.H.A., Paiva L.T., Pinho M. (2014). A SEIR model for control of infectious diseases with constraints, Mathematical Biosciences and Engineering, 11(4), 761-784. doi:10.3934/mbe.2014.11.761.
  8. [8] Neilan R.M., Lenhart S. (2010). An Introduction to Optimal Control with an Application in Disease Modeling, Modeling Paradigms and Analysis of Disease Trasmission Models, 49, 67-82.

Details

Primary Language

English

Subjects

Biological Mathematics, Dynamical Systems in Applications, Calculus of Variations, Mathematical Aspects of Systems Theory and Control Theory

Journal Section

Theoretical Article

Publication Date

September 30, 2023

Submission Date

June 9, 2023

Acceptance Date

September 15, 2023

Published in Issue

Year 2023 Number: 054

APA
Nazlıpınar, A. S., & Mohammadımehr, F. (2023). ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE. Journal of Scientific Reports-A, 054, 322-337. https://doi.org/10.59313/jsr-a.1312173
AMA
1.Nazlıpınar AS, Mohammadımehr F. ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE. JSR-A. 2023;(054):322-337. doi:10.59313/jsr-a.1312173
Chicago
Nazlıpınar, Ali Serdar, and Farıdeh Mohammadımehr. 2023. “ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE”. Journal of Scientific Reports-A, nos. 054: 322-37. https://doi.org/10.59313/jsr-a.1312173.
EndNote
Nazlıpınar AS, Mohammadımehr F (September 1, 2023) ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE. Journal of Scientific Reports-A 054 322–337.
IEEE
[1]A. S. Nazlıpınar and F. Mohammadımehr, “ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE”, JSR-A, no. 054, pp. 322–337, Sept. 2023, doi: 10.59313/jsr-a.1312173.
ISNAD
Nazlıpınar, Ali Serdar - Mohammadımehr, Farıdeh. “ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE”. Journal of Scientific Reports-A. 054 (September 1, 2023): 322-337. https://doi.org/10.59313/jsr-a.1312173.
JAMA
1.Nazlıpınar AS, Mohammadımehr F. ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE. JSR-A. 2023;:322–337.
MLA
Nazlıpınar, Ali Serdar, and Farıdeh Mohammadımehr. “ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE”. Journal of Scientific Reports-A, no. 054, Sept. 2023, pp. 322-37, doi:10.59313/jsr-a.1312173.
Vancouver
1.Ali Serdar Nazlıpınar, Farıdeh Mohammadımehr. ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE. JSR-A. 2023 Sep. 1;(054):322-37. doi:10.59313/jsr-a.1312173