Journal
SYMMETRY-BASEL
Volume 13, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/sym13112121
Keywords
fractional order; control; periodic immune; cell-to-cell
Categories
Funding
- 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]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available