Mathematical Model on the Impact of Protection against Tungiasis Transmission Dynamics

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dc.contributor.authorNyaberi, H.O.
dc.contributor.authorWachira, C.M.
dc.date.accessioned2020-10-27T07:00:27Z
dc.date.available2020-10-27T07:00:27Z
dc.date.issued2020
dc.descriptionAn Article Published in Journal of Mathematics and Computer Science (JMCS)en_US
dc.description.abstractIn 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 populationen_US
dc.identifier.citationNyaberi, 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.issn1927-5307
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/20671
dc.language.isoenen_US
dc.publisherJournal of Mathematics and Computer Science (JMCS)en_US
dc.subjectTungiasisen_US
dc.subjectBasic reproduction numberen_US
dc.subjectStabilityen_US
dc.titleMathematical Model on the Impact of Protection against Tungiasis Transmission Dynamicsen_US
dc.typeArticleen_US
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