Modeling and analysis of recurrent autoimmune disease
Modeling and analysis of recurrent autoimmune disease
复制标题
复发性自身免疫性疾病的建模和分析
DOI：
10.1016/j.nonrwa.2020.103109
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Pei Yu
中科院分区：
文献类型：
--
作者：
Yancong Xu;Yu Yang;Fanwei Meng;Pei Yu
In this paper, we consider dynamics and bifurcations in two HIV models with cellto-.cell interaction. The difference between the two models lies in the inclusion or.omission of the effect of involvement. Particular attention is focused on the effects.due to the cell-to-cell transmission and the effect of the involvement. We investigate.the local and global stability of equilibria of the two models and give a comparison..We derive the existence condition for Hopf bifurcation and prove no Bogdanov-.Takens bifurcation in this system. In particular, we show that the system exhibits.the recurrence phenomenon, yielding complex dynamical behavior. It is also shown.that the effect of the involvement is the main cause of the periodic symptoms.in HIV or malaria disease. Moreover, it is shown that the increase of cell-to-cell.interaction may be the main factor causing Hopf bifurcation to disappear, and.thus eliminating oscillation behavior. Finally, numerical simulations are present to.demonstrate our theoretical results.
