Effect of antibodies and latently infected cells on HIV dynamics with differential drug efficacy in cocirculating target cells

dc.contributor.authorShehata, Ahmed M.
dc.contributor.authorElaiw, A.M.
dc.contributor.authorElnahary, E. Kh.
dc.date.accessioned2017-03-17T08:55:38Z
dc.date.issued2017-06
dc.description.abstractIn this paper, we investigate the qualitative behaviors of three viral infection models with two types of cocirculating target cells. The models take into account both antibodies and latently infected cells. The incidence rate is represented by bilinear, saturation and general function. For the first two models, we have derived two threshold parameters, R0 and R1 which completely determined the global properties of the models. Lyapunov functions are constructed and LaSalle's invariance principle is applied to prove the global asymptotic stability of all equilibria of the models. For the third model, we have established a set of conditions on the general incidence rate function which are sufficient for the global stability of the equilibria of the model. Theoretical results have been checked by numerical simulations.en_ZA
dc.description.departmentElectrical, Electronic and Computer Engineeringen_ZA
dc.description.embargo2018-06-30
dc.description.librarianhb2017en_ZA
dc.description.sponsorshipThe Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah.en_ZA
dc.description.urihttp://link.springer.com/journal/10819en_ZA
dc.identifier.citationShehata, AM, Elaiw, AM & Elnahary, EK 2017, 'Effect of antibodies and latently infected cells on HIV dynamics with differential drug efficacy in cocirculating target cells', Journal of Computational Analysis and Applications, vol. 22, no. 6, pp. 1074-1093.en_ZA
dc.identifier.issn1521-1398 (print)
dc.identifier.issn1572-9206 (online)
dc.identifier.urihttp://hdl.handle.net/2263/59459
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.rights© Springer-Verlag 20XX. The original publication is available at : http://link.springer.com/journal/10819.en_ZA
dc.subjectGlobal stabilityen_ZA
dc.subjectLatently infected cellsen_ZA
dc.subjectLyapunov functionen_ZA
dc.subjectVirus infectionen_ZA
dc.titleEffect of antibodies and latently infected cells on HIV dynamics with differential drug efficacy in cocirculating target cellsen_ZA
dc.typePostprint Articleen_ZA

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