Open AccessAnalysis of seir model with a single control for COVID-19
Author(s) -
Naga soundarya lakshmi V S,
A. Sabarmathi
Publication year - 2021
Publication title -
journal of computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-8686
DOI - 10.26524/cm89
Subject(s) - pontryagin's minimum principle , maximum principle , covid-19 , mathematics , optimal control , vaccination , mathematical optimization , virology , biology , medicine , infectious disease (medical specialty) , outbreak , disease , pathology
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.