Optimal control analysis of a tuberculosis model

• Published in: Applied Mathematical Modelling Vol. 58; pp. 47 - 64
• Main Authors: Gao, Da-peng, Huang, Nan-jing
• Format: Journal Article
• Language: English
• Published: England Elsevier Inc 01.06.2018; Elsevier BV
• Subjects: Case finding; Case holding; Control theory; Disease control; Disease management; Mathematical models; Maximum principle; Numerical analysis; Optimal control; Pontryagin’s Maximum Principle; Tuberculosis; 92D30; Tuberculosis; Pontryagin’s Maximum Principle; Optimal control; Case finding; 34D30; 49J15; Case holding; 92A30

•A new TB model with the 4-order cost function is introduced and investigated.•The method for the proof of uniqueness of optimal control for the model is new.•The numerical results show that the model considered in this paper are effective. In this paper, we extend the model of Liu and Zhang (Math C...