Citation

Xiang H, Song NN, Huo HF. J. Biol. Dyn. 2016; 10(1): 164-178.

Affiliation

a Department of Applied Mathematics , Lanzhou University of Technology , Lanzhou , Gansu 730050 , People's Republic of China.

Copyright

(Copyright © 2016, Informa - Taylor and Francis Group)

DOI

10.1080/17513758.2015.1115562

PMID

26673882

Abstract

This paper deals with the global property of a drinking model with public health educational campaigns. With the help of Lyapunov function, global stability of equilibria of the model is derived. The alcohol-free equilibrium is globally asymptotically stable and the alcohol problems are eliminated from population if [Formula: see text]. A unique alcohol present equilibrium is globally asymptotically stable if [Formula: see text]. Furthermore, the basic reproductive [Formula: see text] for the model is compared with the basic reproductive number [Formula: see text] for the absence of public health educational campaigns. We conclude that the public health educational campaigns of drinking individuals can slow down the drinking dynamics. Some numerical simulations are also given to explain our conclusions.

Language: en