@misc{10498/35358,
year = {2021},
url = {http://hdl.handle.net/10498/35358},
abstract = {The most dangerous disease of this decade novel coronavirus or COVID-19 is yet not over.
The whole world is facing this threat and trying to stand together to defeat this pandemic.
Many countries have defeated this virus by their strong control strategies and many are still
trying to do so. To date, some countries have prepared a vaccine against this virus but not in
an enough amount. The main aim of this paper is to justify the role of vaccine in this tough
time of COVID-19. In this article, we proposed a new SEIRS dynamical model by including
the vaccine rate. First we formulate the model with integer order and after that we generalise
it in Atangana-Baleanu derivative sense. The motivation to use fractional derivatives is to
explore the dynamics of the model more clearly. We provide the analysis of the existence
of solution for the given fractional SEIRS model. We use the famous Predictor-Corrector
algorithm to derive the solution and we also analyse its stability. We simulate number of
graphs to see the role of vaccine on the population. For practical simulations, we use the
parameter values which are based on real data of Spain. A clear role of vaccine at this crucial
time can be realised by this study.},
publisher = {Elsevier},
keywords = {COVID-19},
keywords = {Vaccine},
keywords = {Virus},
keywords = {Mathematical model},
keywords = {Numerical algorithm},
keywords = {12 Atangana-Baleanu fractional derivative},
title = {A new fractional mathematical modelling of COVID-19 with the availability of vaccine},
doi = {10.1016/J.RINP.2021.104213},
author = {Kumar, Pushpendra and Ertuk, V. S. and Murillo Arcila, Marina},
}