| dc.contributor.author | Nyaberi, H.O. | |
| dc.contributor.author | Wachira, C.M. | |
| dc.date.accessioned | 2020-10-27T07:00:27Z | |
| dc.date.available | 2020-10-27T07:00:27Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Nyaberi, H. O., & Wachira, C. M. (2020). Mathematical model on the impact of protection against tungiasis transmission dynamics. J. Math. Comput. Sci., 10(6), 2808-2819. | en_US |
| dc.identifier.issn | 1927-5307 | |
| dc.identifier.uri | http://ir-library.ku.ac.ke/handle/123456789/20671 | |
| dc.description | An Article Published in Journal of Mathematics and Computer Science (JMCS) | en_US |
| dc.description.abstract | In this study, a mathematical model based on a system of ordinary differential equations is formulated
to describe the dynamics of tungiasis infection incorporating protection as a control strategy against infection.
The basic reproduction number is computed using the next generation matrix approach. The existence of the
steady states of the model are determined and the stability analysis of the model carried out. By Routh-Hurwitz
criterion the disease free (DFE) and the endemic equilibrium (EE) points are found to be locally asymptotically
stable. Numerical simulation of the model carried out showed that a high protection rate leads to a low tungiasis
prevalence in a given population | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Journal of Mathematics and Computer Science (JMCS) | en_US |
| dc.subject | Tungiasis | en_US |
| dc.subject | Basic reproduction number | en_US |
| dc.subject | Stability | en_US |
| dc.title | Mathematical Model on the Impact of Protection against Tungiasis Transmission Dynamics | en_US |
| dc.type | Article | en_US |
