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
- [1] Kermack W.O., Mckendric A.G. (1927). Contributions to the mathematical theory of epidemics, part i, Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 115 (772), 700-721.
- [2] Hethcote H.W. (2000). The mathematics of infectious diseases, SIAM Review, 42(4), 599–653.
- [3] Hoppensteadt F.C. (1982). Mathematical methods in population biology, Cambridge University Press, Cambridge.
- [4] Anderson R.M. (1982). Population dynamics of infectious diseases: Theory and applications, Chapman and Hall, London.
- [5] Grassly N.C., Fraser C. (2008). Mathematical models of infectious disease transmission, Nature Reviews Microbiology 6, 477-487. doi:10.1038/nrmicro1845.
- [6] Keeling M.J., Danon L. (2009). Mathematical modelling of infectious diseases, Br Med Bull, 92(1), 33-42. doi: 10.1093/bmb/ldp038.
- [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] 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
Authors
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