Transmission dynamics of a brucellosis model: Basic reproduction number and global analysis. (November 2017)

• Record Type: Journal Article
• Authors: Li, Can; Guo, Zun-Guang; Zhang, Zhi-Yu
• Is Part Of: Chaos, solitons and fractals. Volume 104(2017)
• Page Start: 161
• Page End: 172
• Publication Date: 2017-11
• Subjects: Brucellosis transmission -- Dynamical model -- Global dynamics -- Lyapunov function; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.08.013
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: We construct a dynamical model of brucellosis transmission. Basic reproduction number is obtained mathematically. Global dynamics are investigated based on Lyapunov functions. Abstract: Brucellosis is a major problem worldwide in public health and existing work mainly focused on severity estimation based on the real data. However, global analysis on brucellosis transmission model is not well understood. In this paper, we presented a dynamical model of brucellosis transmission coupled with sheep and human populations and global analysis is shown based on Lyapunov functions. We found that the global dynamics of brucellosis model is determined by basic reproduction number R 0 : if R 0 < 1, then the disease-free equilibrium is globally asymptotically stable; otherwise, the endemic equilibrium is globally asymptotically stable. We hope that our study may provide theoretical basis for the further work on brucellosis control.