A Delay Differential Equation Model of Hepatitis B Virus (HBV) Infection and Immune Control - International Journal of Trend in Scientific Research and Development

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Saturday 11 August 2018

A Delay Differential Equation Model of Hepatitis B Virus (HBV) Infection and Immune Control

we investigated the intracellular delay effect on the stability of the endemically infected steady state by analyzing a nonlinear ordinary differential equation model of hepatitis B virus (HBV) infection that considers the interaction betweena replicating virus, hepatocytes and the cyto toxic T lymphocytes (CTL). We gave a criterion to ensure that the infected steady state is asymptotically stable for all delays. A critical delay below which the CTL (immune control mechanism) can be significantly helpful in controlling the HBV infection even when the basic reproduction number is high is allowed in the analysis.

By Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | Godwin C. E. Mbah" A Delay Differential Equation Model of Hepatitis B Virus (HBV) Infection and Immune Control"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-5 , August 2018,

Paper URL: http://www.ijtsrd.com/papers/ijtsrd18165.pdf

Direct URL: http://www.ijtsrd.com/mathemetics/other/18165/a-delay-differential-equation-model-of-hepatitis-b-virus-hbv-infection-and-immune-control/titus-ifeanyi-chinebu

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