Vol. 5 No. 1 (2021): Vol 5,Iss 1, Year 2021
Articles

Analysis of seir model with a single control for COVID-19

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  • Naga soundarya lakshmi V S V,
  • Sabarmathi A
Naga soundarya lakshmi V S V
Department of Mathematics, Auxilium College, Vellore, Tamil Nadu, India
Sabarmathi A
Department of Mathematics, Auxilium College, Vellore, TamilNadu, India
DOI: https://doi.org/10.26524/cm89
Published June 18, 2021
Keywords
  • SEIR model, Control theory, Pontryagin's maximum principle, Equilibrium Analysis, COVID-19
How to Cite
V S V, N. soundarya lakshmi, & A, S. (2021). Analysis of seir model with a single control for COVID-19. Journal of Computational Mathematica, 5(1), 28 - 37. https://doi.org/10.26524/cm89

Abstract

A SEIR mathematical model with a single control vaccination is formulated. Properties of Pontryagin's maximum principle is verified and found the optimal levels of controls. Optimal values of S, E, I, R were derived by equlibrium analysis. Numerical simulations were carried out to exhibit the Susceptible, Exposed, Infectious and Recovery class with and without vaccination.

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