Tuberculosis with relapse: A model. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Yang, Yali; Wu, Jianhong; Li, Jianquan; Xu, Xiaxia
• Is Part Of: Mathematical population studies. Volume 24:Issue 1(2017)
• Page Start: 3
• Page End: 20
• Publication Date: 2017-01-02
• Subjects: Basic reproduction number -- equilibrium -- global stability -- partial rank correlation coefficient -- sensitivity analysis -- tuberculosis; Demography -- Mathematical models -- Periodicals; Demography -- Mathematics -- Periodicals; 304.60724
• DOI: 10.1080/08898480.2014.998550
• Languages: English
• ISSNs: 0889-8480

Abstract

ABSTRACT: In a model of tuberculosis with relapse, the basic reproduction number R 0 includes new and relapse infections. Lyapunov functions help to prove that the global dynamic is completely determined by R 0 . Replicated Latin hypercube sampling shows that early diagnosis and treatment are more efficient when relapse cases are considered.