Dynamical analysis and optimal control for a delayed viral infection model  

作　　者：Fei Li Suxia Zhang Xiaxia Xu 

机构地区：[1]School of Science,Xi'an University of Technology Xi'an,710048,P.R.China

出　　处：《International Journal of Biomathematics》2023年第4期21-44,共24页生物数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (#11801439);Natural Science Basic Research Plan in Shaanxi Province of China Grant (#2022JM-038)。

摘　　要：To describe the interaction between viral infection and immune response,we establish a mathematical model with intracellular delay and investigate an optimal control problem to examine the effect of antiviral therapy.Dynamic analysis of the proposed model for the stability of equilibria and Hopf bifurcation is conducted.Theoretical results reveal that the dynamical properties are determined by both the immune-inactivated reproduction number and the immune-activated reproduction number.With the aim of minimizing the infected cells and viral load with consideration for the treatment costs,the optimal solution is discussed analytically.Numerical simulations are performed to suggest the optimal therapeutic strategy and compare the model-predicted consequences.

关 键 词：Viral infection immune delay Hopf bifurcation optimal control 

分 类 号：O17[理学—数学]