Vectored immunoprohylaxis and cell-to-cell transmission in HIV dynamics
Vectored immunoprohylaxis and cell-to-cell transmission in HIV dynamics
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HIV动力学中的载体免疫预防和细胞间传播
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通讯作者：
Fanwei Meng
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作者：
Yancong Xu;Zirui Zhu;Yu Yang;Fanwei Meng
我们考虑了具有细胞间传播和矢量免疫预防的 HIV 模型中的局部和全局分歧。通过理论和数值分析来探索各种动力学行为，包括后向分岔、Hopf 分岔、同宿分岔、Bogdanov-Takens 分岔、磁滞和孤立分岔。周期轨道的岛分岔是在HIV模型中首次以数值方式检测到的，这意味着存在一个具有相同振荡的参数间隔。结果表明，该模型中载体免疫预防的作用是HIV疾病周期性症状的主要原因。此外，研究表明，细胞间传输的增加可能是导致Hopf分岔消失、从而消除振荡行为的主要因素。此外，在不同的参数区间中发现了多种动态行为模式，包括双稳态。
We consider local and global bifurcations in a HIV model with cell-to-cell transmission and.vectored immunoprohylaxis. Both theoretical and numerical analysis are conducted to explore.various dynamical behaviors including backward bifurcation, Hopf bifurcation, homoclinic bifur-.cation, Bogdanov-Takens bifurcation, hysteresis and isola bifurcation. The isola bifurcation of.periodic orbits is rst detected numerically in HIV model, which means that there is a parameter.interval with the same oscillations. It is shown that the eect of vectored immunoprohylaxis in.this model is the main cause of the periodic symptoms of HIV disease. Moreover, it is shown.that the increase of cell-to-cell transmission may be the main factor causing Hopf bifurcation.to disappear, and thus eliminating oscillation behaviour. Also, several patterns of dynamical.behaviors are found in dierent parameter intervals including the bistability.