Effect of antibodies and latently infected cells on HIV dynamics with differential drug efficacy in cocirculating target cells
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Date
Authors
Shehata, Ahmed M.
Elaiw, A.M.
Elnahary, E. Kh.
Journal Title
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Volume Title
Publisher
Springer
Abstract
In 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.
Description
Keywords
Global stability, Latently infected cells, Lyapunov function, Virus infection
Sustainable Development Goals
Citation
Shehata, 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.