Categories
Nevin Manimala Statistics

Study of Fractional Order SEIR Epidemic Model and Effect of Vaccination on the Spread of COVID-19

Int J Appl Comput Math. 2022;8(5):237. doi: 10.1007/s40819-022-01411-4. Epub 2022 Aug 26.

ABSTRACT

In this manuscript, a fractional order SEIR model with vaccination has been proposed. The positivity and boundedness of the solutions have been verified. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at disease-free equilibrium point

E0

when

R0

< 1 and at epidemic equilibrium

E1

when

R0>1

. It has been found that introduction of the vaccination parameter

η

reduces the reproduction number

R0

. The parameters are identified using real-time data from COVID-19 cases in India. To numerically solve the SEIR model with vaccination, the Adam-Bashforth-Moulton technique is used. We employed MATLAB Software (Version 2018a) for graphical presentations and numerical simulations.. It has been observed that the SEIR model with fractional order derivatives of the dynamical variables is much more effective in studying the effect of vaccination than the integral model.

PMID:36043055 | PMC:PMC9412815 | DOI:10.1007/s40819-022-01411-4

By Nevin Manimala

Portfolio Website for Nevin Manimala