Bifurcation analysis of HIV infection model with antibody and cytotoxic T-lymphocyte immune responses and Beddington-DeAngelis functional response
Bifurcation analysis of HIV infection model with antibody and cytotoxic T-lymphocyte immune responses and Beddington-DeAngelis functional response
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DOI：
10.1002/mma.3148
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发表时间：
2015-05-15
影响因子：
2.9
通讯作者：
Prakash, M.
中科院分区：
文献类型：
--
作者：
Balasubramaniam, P.;Tamilalagan, P.;Prakash, M.
本文研究了HIV-1感染的抗体、细胞毒性T淋巴细胞免疫反应和Beddington-DeAngelis功能反应的数学模型。无感染和感染的稳定状态的稳定性进行了研究。确定了该系统的基本再生数R-0。如果R-01在没有免疫反应的情况下延迟。我们使用奈奎斯特准则来估计稳定性持续保持的延迟的长度。利用免疫反应时滞作为分支参数，研究了系统的Hopf分支的存在性。数值模拟证明了分析结果。版权所有（c）2014约翰威利父子有限公司
In this paper, a mathematical model for HIV-1 infection with antibody, cytotoxic T-lymphocyte immune responses and Beddington-DeAngelis functional response is investigated. The stability of the infection-free and infected steady states is investigated. The basic reproduction number R-0 is identified for the proposed system. If R-01 in the absence of immune response delay. We use Nyquist criterion to estimate the length of the delay for which stability continues to hold. Also the existence of the Hopf bifurcation is investigated by using immune response delay as a bifurcation parameter. Numerical simulations are presented to justify the analytical results. Copyright (c) 2014 John Wiley & Sons, Ltd.