Global properties of a virus dynamics model with self-proliferation of CTLs

Global properties of a virus dynamics model with self-proliferation of CTLs
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具有 CTL 自我增殖的病毒动力学模型的全局特性

DOI:
10.5206/mase/13822
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发表时间:
2021-05
影响因子:
--
通讯作者:
Kaifa Wang
Kaifa Wang
中科院分区:
--
文献类型:
--
作者:
Cuicui Jiang;Huan Kong;Guohong Zhang;Kaifa Wang

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提出了一个具有细胞毒性T淋巴细胞(CTLs)自我增殖的病毒感染模型,并得到了其全局动力学。当CTLs的人均自我增殖率足够大时,如果病毒的基本再生数小于一个阈值,那么无感染但免疫激活的平衡总是存在且是全局渐近稳定的,这意味着尽管病毒被消除,但免疫效应仍然存在。定性数值模拟进一步表明,人均自我增殖率的增加可能导致更严重的感染结果,这可能为免疫治疗的失败提供见解。
A viral infection model with self-proliferation of cytotoxic T lymphocytes (CTLs) is proposed and its global dynamics is obtained. When the per capita self-proliferation rate of CTLs is sufficient large, an infection-free but immunity-activated equilibrium always exists and is globally asymptotically stable if the basic reproduction number of virus is less than a threshold value, which means that the immune effect still exists though virus be eliminated. Qualitative numerical simulations further indicate that the increase of per capita self-proliferation rate may lead to more severe infection outcome, which may provide insight into the failure of immune therapy.
具有自我增殖和免疫细胞延迟激活的病毒模型中的稳定性和 Hopf 分岔
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