期刊
SYMMETRY-BASEL
卷 13, 期 11, 页码 -出版社
MDPI
DOI: 10.3390/sym13112121
关键词
fractional order; control; periodic immune; cell-to-cell
资金
- Fundamental Research Funds for the Central Universities of China [2020XD-A01-2]
- National Natural Science Foundation of China [71871233]
- Beijing Natural Science Foundation [9182015]
- National traditional Medicine Clinical Research Base Business Construction Special Topics [JDZX2015299]
This paper proposes a new Caputo fractional-order HCV Periodic immune response model and studies the relationship between different basic reproductive numbers and equilibrium points, as well as the effectiveness of two control strategies.
In this paper, a Caputo fractional-order HCV Periodic immune response model with saturation incidence, cell-to-cell and drug control was proposed. We derive two different basic reproductive numbers and their relation with infection-free equilibrium and the immune-exhausted equilibrium. Moreover, there exists some symmetry in the relationship between the two equilibria and the basic reproduction numbers. We obtain the global stability of the infection-free equilibrium by using Lyapunov function and the local stability of the immune-exhausted equilibrium. The optimal control problem is also considered and two control strategies are given; one is for ITX5061 monotherapy, the other is for ITX5061 and DAAs combination therapy. Matlab numerical simulation shows that combination therapy has lower objective function value; therefore, it is worth trying to use combination therapy to treat HCV infection.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据