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

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dc.contributor.author Ahmad, W.
dc.contributor.author Abbas, M.
dc.contributor.author Rafiq, M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-06-16T08:03:58Z
dc.date.available 2022-06-16T08:03:58Z
dc.date.issued 2021-12
dc.identifier.citation Ahmad, W...et al. (2021). "Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic", Results in Physics, Vol. 31. tr_TR
dc.identifier.issn 2211-3797
dc.identifier.uri http://hdl.handle.net/20.500.12416/5646
dc.description.abstract 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. © 2021 tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.rinp.2021.104917 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Covariance tr_TR
dc.subject COVID-19 tr_TR
dc.subject Stability Analysis tr_TR
dc.subject Steady States tr_TR
dc.subject Uniqueness tr_TR
dc.subject Voluntary Vaccination tr_TR
dc.title Mathematical analysis for the effect of voluntary vaccination on the propagation of Corona virus pandemic tr_TR
dc.type article tr_TR
dc.relation.journal Results in Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 31 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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