Control and elimination in an SEIR model for the disease dynamics of Covid-19 with vaccination

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dc.contributor.authorWitbooi, Peter Joseph
dc.contributor.authorVyambwera, Sibaliwe Maku
dc.contributor.authorNsuami, Mozart Umba
dc.date.accessioned2023-02-16T09:00:56Z
dc.date.available2023-02-16T09:00:56Z
dc.date.issued2023
dc.description.abstractCOVID-19 has become a serious pandemic affecting many countries around the world since it was discovered in 2019. In this research, we present a compartmental model in ordinary differential equations for COVID-19 with vaccination, inflow of infected and a generalized contact rate. Existence of a unique global positive solution of the model is proved, followed by stability analysis of the equilibrium points. A control problem is presented, with vaccination as well as reduction of the contact rate by way of education, law enforcement or lockdown. In the last section, we use numerical simulations with data applicable to South Africa, for supporting our theoretical results. The model and application illustrate the interesting manner in which a diseased population can be perturbed from within itself.en_US
dc.identifier.citationWitbooi, P. J. et al. (2023). Control and elimination in an SEIR model for the disease dynamics of Covid-19 with vaccination. AIMS Mathematics, 8(4), 8144-8161. 10.3934/math.2023411en_US
dc.identifier.issn2473-6988
dc.identifier.uri10.3934/math.2023411
dc.identifier.urihttp://hdl.handle.net/10566/8431
dc.language.isoenen_US
dc.publisherAIMS Pressen_US
dc.subjectCovid-19en_US
dc.subjectPublic healthen_US
dc.subjectImmigrantsen_US
dc.subjectMathematicsen_US
dc.subjectSouth Africaen_US
dc.titleControl and elimination in an SEIR model for the disease dynamics of Covid-19 with vaccinationen_US
dc.typeArticleen_US

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