Mathematical Modeling of the Dynamics of Infectious Diseases with Relapse

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dc.contributor.authorNyaberi, Halson Ogeto
dc.contributor.authorWakwabubi, Victor Wangila
dc.date.accessioned2020-08-21T12:26:59Z
dc.date.available2020-08-21T12:26:59Z
dc.date.issued2020
dc.descriptionA research article published in Asian Journal of Mathematics and Computer Researchen_US
dc.description.abstractIn this paper, we have formulated a mathematical model based on a series of ordinary dierential equations to study the transmission dynamics of infectious diseases that exhibit relapse. The basic reproduction number of the model was computed using the next generation matrix method. The existence of the equilibrium points of the model was investigated and stability analysis carried out. The disease free equilibrium point was found to be locally asymptotically stable when R0 < 1 and unstable when R0 > 1 and globally asymptotically stable when R0 < 1 and unstable when R0 > 1. The endemic equilibrium point was found to be locally and globally asymptotically stable when R0 > 1. The center manifold theory was used to investigate the type of bifurcation at R0 = 1.en_US
dc.identifier.citationNYABERI, H. O., & WAKWABUBI, V. W. (2020). MATHEMATICAL MODELING OF THE DYNAMICS OF INFECTIOUS DISEASES WITH RELAPSE. Asian Journal of Mathematics and Computer Research, 27(1), 28-37. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/4996en_US
dc.identifier.issn2395-4213
dc.identifier.urihttps://www.ikprress.org/index.php/AJOMCOR
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/20258
dc.language.isoenen_US
dc.publisherInternational Knowledge Press.en_US
dc.subjectDynamicsen_US
dc.subjectrelapseen_US
dc.subjectreproduction numberen_US
dc.subjectstabilityen_US
dc.titleMathematical Modeling of the Dynamics of Infectious Diseases with Relapseen_US
dc.typeArticleen_US
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