Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic

In this manuscript, a new nonlinear model for the rapidly spreading Corona virus disease (COVID-19) is developed. We incorporate an additional class of vaccinated humans which ascertains the impact of vaccination strategy for susceptible humans. A complete mathematical analysis of this model is cond...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	W. Ahmad, M. Abbas, M. Rafiq, D. Baleanu
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	COVID-19 Steady states Voluntary vaccination Uniqueness Stability analysis Covariance Physics QC1-999
Acceso en línea:	https://doaj.org/article/79b2c64ca17d4a8f8f91c8c0e79279cc
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:79b2c64ca17d4a8f8f91c8c0e79279cc
record_format	dspace
spelling	oai:doaj.org-article:79b2c64ca17d4a8f8f91c8c0e79279cc2021-11-22T04:24:29ZMathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic2211-379710.1016/j.rinp.2021.104917https://doaj.org/article/79b2c64ca17d4a8f8f91c8c0e79279cc2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009475https://doaj.org/toc/2211-3797In this manuscript, a new nonlinear model for the rapidly spreading Corona virus disease (COVID-19) is developed. We incorporate an additional class of vaccinated humans which ascertains the impact of vaccination strategy for susceptible humans. A complete mathematical analysis of this model is conducted to predict the dynamics of Corona virus in the population. The analysis proves the effectiveness of vaccination strategy employed and helps public health services to control or to reduce the burden of corona virus pandemic. We first prove the existence and uniqueness and then boundedness and positivity of solutions. Threshold parameter for the vaccination model is computed analytically. Stability of the proposed model at fixed points is investigated analytically with the help of threshold parameter to examine epidemiological relevance of the pandemic. We apply LaSalle’s invariance principle from the theory of Lyapunov function to prove the global stability of both the equilibria. Two well known numerical techniques namely Runge–Kutta method of order 4 (RK4), and the Non-Standard Finite Difference (NSFD) method are employed to solve the system of ODE’s and to validate our obtained theoretical results. For different coverage levels of voluntary vaccination, we explored a complete quantitative analysis of the model. To draw our conclusions, the effect of proposed vaccination on threshold parameter is studied numerically. It is claimed that Corona virus disease could be eradicated faster if a human community selfishly adopts mandatory vaccination measures at various coverage levels with proper awareness. Finally, we have executed the joint variability of all classes to understand the effect of vaccination strategy on a disease dynamics.W. AhmadM. AbbasM. RafiqD. BaleanuElsevierarticleCOVID-19Steady statesVoluntary vaccinationUniquenessStability analysisCovariancePhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104917- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	COVID-19 Steady states Voluntary vaccination Uniqueness Stability analysis Covariance Physics QC1-999
spellingShingle	COVID-19 Steady states Voluntary vaccination Uniqueness Stability analysis Covariance Physics QC1-999 W. Ahmad M. Abbas M. Rafiq D. Baleanu Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic
description	In this manuscript, a new nonlinear model for the rapidly spreading Corona virus disease (COVID-19) is developed. We incorporate an additional class of vaccinated humans which ascertains the impact of vaccination strategy for susceptible humans. A complete mathematical analysis of this model is conducted to predict the dynamics of Corona virus in the population. The analysis proves the effectiveness of vaccination strategy employed and helps public health services to control or to reduce the burden of corona virus pandemic. We first prove the existence and uniqueness and then boundedness and positivity of solutions. Threshold parameter for the vaccination model is computed analytically. Stability of the proposed model at fixed points is investigated analytically with the help of threshold parameter to examine epidemiological relevance of the pandemic. We apply LaSalle’s invariance principle from the theory of Lyapunov function to prove the global stability of both the equilibria. Two well known numerical techniques namely Runge–Kutta method of order 4 (RK4), and the Non-Standard Finite Difference (NSFD) method are employed to solve the system of ODE’s and to validate our obtained theoretical results. For different coverage levels of voluntary vaccination, we explored a complete quantitative analysis of the model. To draw our conclusions, the effect of proposed vaccination on threshold parameter is studied numerically. It is claimed that Corona virus disease could be eradicated faster if a human community selfishly adopts mandatory vaccination measures at various coverage levels with proper awareness. Finally, we have executed the joint variability of all classes to understand the effect of vaccination strategy on a disease dynamics.
format	article
author	W. Ahmad M. Abbas M. Rafiq D. Baleanu
author_facet	W. Ahmad M. Abbas M. Rafiq D. Baleanu
author_sort	W. Ahmad
title	Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic
title_short	Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic
title_full	Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic
title_fullStr	Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic
title_full_unstemmed	Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic
title_sort	mathematical analysis for the effect of voluntary vaccination on the propagation of corona virus pandemic
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/79b2c64ca17d4a8f8f91c8c0e79279cc
work_keys_str_mv	AT wahmad mathematicalanalysisfortheeffectofvoluntaryvaccinationonthepropagationofcoronaviruspandemic AT mabbas mathematicalanalysisfortheeffectofvoluntaryvaccinationonthepropagationofcoronaviruspandemic AT mrafiq mathematicalanalysisfortheeffectofvoluntaryvaccinationonthepropagationofcoronaviruspandemic AT dbaleanu mathematicalanalysisfortheeffectofvoluntaryvaccinationonthepropagationofcoronaviruspandemic
_version_	1718418230106652672

Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic

Ejemplares similares