Citation

Xiang H, Zhu CC, Huo HF. J. Biol. Dyn. 2017; 11(1): 275-298.

Affiliation

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

Copyright

(Copyright © 2017, Informa - Taylor and Francis Group)

DOI

10.1080/17513758.2017.1337243

PMID

28625104

Abstract

A drinking model with immigration is constructed. For the model with problem drinking immigration, the model admits only one problem drinking equilibrium. For the model without problem drinking immigration, the model has two equilibria, one is problem drinking-free equilibrium and the other is problem drinking equilibrium. By employing the method of Lyapunov function, stability of all kinds of equilibria is obtained. Numerical simulations are also provided to illustrate our analytical results. Our results show that alcohol immigrants increase the difficulty of the temperance work of the region.

Language: en

Keywords

92D25; Drinking; Lyapunov function; equilibrium; global stability; immigration