RT journal article
T1 A new fractional mathematical modelling of COVID-19 with the availability of vaccine
A1 Kumar, Pushpendra
A1 Ertuk, V. S.
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 COVID-19
K1 Vaccine
K1 Virus
K1 Mathematical model
K1 Numerical algorithm
K1 12 Atangana-Baleanu fractional derivative
AB 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 stilltrying to do so. To date, some countries have prepared a vaccine against this virus but not inan enough amount. The main aim of this paper is to justify the role of vaccine in this toughtime of COVID-19. In this article, we proposed a new SEIRS dynamical model by includingthe vaccine rate. First we formulate the model with integer order and after that we generaliseit in Atangana-Baleanu derivative sense. The motivation to use fractional derivatives is toexplore the dynamics of the model more clearly. We provide the analysis of the existenceof solution for the given fractional SEIRS model. We use the famous Predictor-Correctoralgorithm to derive the solution and we also analyse its stability. We simulate number ofgraphs to see the role of vaccine on the population. For practical simulations, we use theparameter values which are based on real data of Spain. A clear role of vaccine at this crucialtime can be realised by this study.
PB Elsevier
SN 2211-3797
YR 2021
FD 2021
LK http://hdl.handle.net/10498/35358
UL http://hdl.handle.net/10498/35358
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026