dc.contributor.author Musaili, Jane S. dc.contributor.author Chepkwony, Isaac dc.date.accessioned 2020-02-14T06:32:26Z dc.date.available 2020-02-14T06:32:26Z dc.date.issued 2020 dc.identifier.citation Journal of Advances in Mathematics and Computer Science. Vol 35, Issue 1, pp 1-11, 2020 en_US dc.identifier.issn 2456-9968 dc.identifier.uri http://ir-library.ku.ac.ke/handle/123456789/20149 dc.description Research article en_US dc.description.abstract Rabies is a zoonotic viral disease that affects all mammals including human beings. Dogs are en_US responsible for 99% of human rabies cases and the disease is always fatal once the symptoms appear. In Kenya the disease is still endemic despite the fact that there are efficient vaccines for controlling the disease. In this project, we developed SIRS mathematical model using a system of ordinary differential equations from the model to study the transmission dynamics of rabies virus in dogs using public health education as a control strategy. The reproduction number R0 was calculated using the Next Generation Matrix. Both disease free and endemics equilibrium points were determined and their stability analysis performed. From the stability analysis results it was found out that the disease free equilibrium point is both locally and globally asymptotically stable when R0 < 1 and the endemic equilibrium point is both locally and globally asymptotically stable when R0 > 1. Numerical simulations done using Matlab indicated that education of the public on administration of both pre and post exposure vaccines to dogs and responsible dog ownership dc.language.iso en en_US dc.publisher Sciencedomain International en_US dc.subject Rabies en_US dc.subject reproduction number en_US dc.subject stability en_US dc.subject numerical simulation en_US dc.title A Mathematical Model of Rabies Transmission Dynamics in Dogs Incorporating Public Health Education as a Control Strategy -A Case Study of Makueni County en_US dc.type Article en_US
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