| dc.contributor.author | Witbooi, Peter Joseph | |
| dc.contributor.author | Vyambwera, Sibaliwe Maku | |
| dc.contributor.author | Nsuami, Mozart Umba | |
| dc.date.accessioned | 2023-02-16T09:00:56Z | |
| dc.date.available | 2023-02-16T09:00:56Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Witbooi, 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.2023411 | en_US |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.uri | 10.3934/math.2023411 | |
| dc.identifier.uri | http://hdl.handle.net/10566/8431 | |
| dc.description.abstract | COVID-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.language.iso | en | en_US |
| dc.publisher | AIMS Press | en_US |
| dc.subject | Covid-19 | en_US |
| dc.subject | Public health | en_US |
| dc.subject | Immigrants | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | South Africa | en_US |
| dc.title | Control and elimination in an SEIR model for the disease dynamics of Covid-19 with vaccination | en_US |
| dc.type | Article | en_US |
