Global analysis of tuberculosis dynamical model and optimal control strategies based on case data in the United States

作者：

Highlights：

• An SVEITR model with vaccination, fast and slow progression, incomplete treatment and relapse for TB is proposed.

• Based on the data from 1988 to 2019, the basic reproduction number (R0)of TB in the United States is 1.3763.

• If R0> 1, the unique endemic equilibrium is globally asymptotically stable under certain conditions.

• Optimal control strategies are prevention and control education, timely treatment and enhanced efficacy.

• The most cost-effective strategies are timely treatment and enhanced efficacy.

摘要

•An SVEITR model with vaccination, fast and slow progression, incomplete treatment and relapse for TB is proposed.•Based on the data from 1988 to 2019, the basic reproduction number (R0)of TB in the United States is 1.3763.•If R0> 1, the unique endemic equilibrium is globally asymptotically stable under certain conditions.•Optimal control strategies are prevention and control education, timely treatment and enhanced efficacy.•The most cost-effective strategies are timely treatment and enhanced efficacy.

论文关键词：Tuberculosis,Basic reproduction number,Global stability,Parameter estimation,Optimal control

论文评审过程：Received 20 April 2021, Revised 16 January 2022, Accepted 24 January 2022, Available online 6 February 2022, Version of Record 6 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126983