%0 Journal Article %1 noauthororeditor %A Mbah, Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | Godwin C. E. %D 2018 %J International Journal of Trend in Scientific Research and Development %K B Critical Delay Equation Hepatitis Virus differential immune system %N 5 %P 1678-1694 %T A Delay Differential Equation Model of Hepatitis B Virus (HBV) Infection and Immune Control %U http://www.ijtsrd.com/mathemetics/other/18165/a-delay-differential-equation-model-of-hepatitis-b-virus-hbv-infection-and-immune-control/titus-ifeanyi-chinebu %V 2 %X 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 cytotoxic 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. Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | Godwin C. E. MbahÄ 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, URL: http://www.ijtsrd.com/papers/ijtsrd18165.pdf http://www.ijtsrd.com/mathemetics/other/18165/a-delay-differential-equation-model-of-hepatitis-b-virus-hbv-infection-and-immune-control/titus-ifeanyi-chinebu

@article{noauthororeditor, abstract = {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 cytotoxic 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. 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, URL: http://www.ijtsrd.com/papers/ijtsrd18165.pdf http://www.ijtsrd.com/mathemetics/other/18165/a-delay-differential-equation-model-of-hepatitis-b-virus-hbv-infection-and-immune-control/titus-ifeanyi-chinebu }, added-at = {2018-10-03T07:33:27.000+0200}, author = {Mbah, Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | Godwin C. E.}, biburl = {https://www.bibsonomy.org/bibtex/269eb3d05a3171d63770bf0eeb1360554/ijtsrd}, interhash = {48ac94c6bf8ed07c8c2d8ff0b4d800a5}, intrahash = {69eb3d05a3171d63770bf0eeb1360554}, issn = {2456-6470}, journal = {International Journal of Trend in Scientific Research and Development}, keywords = {B Critical Delay Equation Hepatitis Virus differential immune system}, language = {English}, month = aug, number = 5, pages = {1678-1694}, timestamp = {2018-10-03T07:33:27.000+0200}, title = {A Delay Differential Equation Model of Hepatitis B Virus (HBV) Infection and Immune Control }, 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}, volume = 2, year = 2018 }