Transmission dynamics of a brucellosis model: Basic reproduction number and global analysis

Can Li, Zun-Guang Guo and Zhi-Yu Zhang

Chaos, Solitons & Fractals, 2017, vol. 104, issue C, 161-172

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 R0: if R0 < 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.

Keywords: Brucellosis transmission; Dynamical model; Global dynamics; Lyapunov function (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:104:y:2017:i:c:p:161-172

DOI: 10.1016/j.chaos.2017.08.013

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