A Mathematical Modeling of Tuberculosis Dynamics with Hygiene Consciousness as a Control Strategy

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dc.contributor.authorMawira, Phineas Z.
dc.contributor.authorMalonza, David M.
dc.date.accessioned2020-09-21T10:16:20Z
dc.date.available2020-09-21T10:16:20Z
dc.date.issued2020
dc.descriptiona research article published in Journal of Advances in Mathematics and Computer Scienceen_US
dc.description.abstractTuberculosis, an airborne infectious disease, remains a major threat to public health in Kenya. In this study, we derived a system of non-linear ordinary differential equations from the SLICR mathematical model of TB to study the effects of hygiene consciousness as a control strategy against TB in Kenya. The effective basic reproduction number (R0) of the model was determined by the next generation matrix approach. We established and analyzed the equilibrium points. Using the Routh-Hurwitz criterion for local stability analysis and comparison theorem for global stability analysis, the disease-free equilibrium (DFE) was found to be locally asymptotically stable given that R0 < 1. Also by using the Routh-Hurwitz criterion for local stability analysis and Lyapunov function and LaSalle’s invariance principle for global stability analysis, the endemic equilibrium (EE) point was found to be locally asymptotically stable given that R0 > 1. Using MATLAB ode45 solver, we simulated the model numerically and the results suggest that hygiene consciousness can help in controlling TB disease if incorporated effectively.en_US
dc.identifier.citationMawira, P. Z., & Malonza, D. M. (2020). A Mathematical Modeling of Tuberculosis Dynamics with Hygiene Consciousness as a Control Strategy. Journal of Advances in Mathematics and Computer Science, 38-48.en_US
dc.identifier.issn2456-9968
dc.identifier.urihttps://journaljamcs.com/index.php/JAMCS/article/view/30302
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/20408
dc.language.isoenen_US
dc.publisherJournal of Advances in Mathematics and Computer Scienceen_US
dc.subjectTuberculosisen_US
dc.subjectreproduction numberen_US
dc.subjectstabilityen_US
dc.subjectnumerical simulationen_US
dc.titleA Mathematical Modeling of Tuberculosis Dynamics with Hygiene Consciousness as a Control Strategyen_US
dc.typeArticleen_US
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