dc.contributor.author Nyaberi, Halson Ogeto dc.contributor.author Wakwabubi, Victor Wangila dc.date.accessioned 2020-08-21T12:26:59Z dc.date.available 2020-08-21T12:26:59Z dc.date.issued 2020 dc.identifier.citation NYABERI, 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/4996 en_US dc.identifier.issn 2395-4213 dc.identifier.uri https://www.ikprress.org/index.php/AJOMCOR dc.identifier.uri http://ir-library.ku.ac.ke/handle/123456789/20258 dc.description A research article published in Asian Journal of Mathematics and Computer Research en_US dc.description.abstract In 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.language.iso en en_US dc.publisher International Knowledge Press. en_US dc.subject Dynamics en_US dc.subject relapse en_US dc.subject reproduction number en_US dc.subject stability en_US dc.title Mathematical Modeling of the Dynamics of Infectious Diseases with Relapse en_US dc.type Article en_US
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