Mathematical analysis of TB model with vaccination and saturated incidence rate
| dc.contributor.author | Witbooi, Peter Joseph | |
| dc.contributor.author | Mengistu, Ashenafi Kelemu | |
| dc.date.accessioned | 2021-01-27T10:25:12Z | |
| dc.date.available | 2021-01-27T10:25:12Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | The model system of ordinary differential equations considers two classes of latently infected individuals, with different risk of becoming infectious. The system has positive solutions. By constructing a Lyapunov function, it is proved that if the basic reproduction number is less than unity, then the disease-free equilibrium point is globally asymptotically stable. The Routh-Hurwitz criterion is used to prove the local stability of the endemic equilibrium when R0 > 1. The model is illustrated using parameters applicable to Ethiopia. A variety of numerical simulations are carried out to illustrate our main results. | en_US |
| dc.identifier.citation | Witbooi, P. J., & Mengistu, A. K. (2020). Mathematical analysis of TB model with vaccination and saturated incidence rate. Abstract and Applied Analysis, 2020,6669997 | en_US |
| dc.identifier.issn | 1687-0409 | |
| dc.identifier.uri | 10.1155/2020/6669997 | |
| dc.identifier.uri | http://hdl.handle.net/10566/5770 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi | en_US |
| dc.subject | Ethiopia | en_US |
| dc.subject | Vaccination | en_US |
| dc.subject | Mathematical analysis | en_US |
| dc.subject | Tuberculosis (TB) | en_US |
| dc.subject | Bacillus Calmette-Guérin (BCG) | en_US |
| dc.title | Mathematical analysis of TB model with vaccination and saturated incidence rate | en_US |
| dc.type | Article | en_US |