Citation

Huo HF, Zhang XM. Math. Biosci. 2016; 281: 24-35.

Affiliation

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

Copyright

(Copyright © 2016, Elsevier Publishing)

DOI

10.1016/j.mbs.2016.08.009

PMID

27590774

Abstract

A novel alcoholism model which involves impact of Twitter is formulated. It is shown that the model has multiple equilibria. Stability of all the equilibria are obtained in terms of the basic reproductive number R0. Using the center manifold theory, the occurrence of backward and forward bifurcation for a certain defined range of R0 are established. Furthermore, the existence of Hopf bifurcation is also established by regarding the transmission coefficient β as the bifurcation parameter. Numerical simulations and sensitivity analysis on a few parameters are also carried out. Our results show that Twitter can serve as a good indicator of alcoholism model and affect the spread of the drinking.

Copyright © 2016. Published by Elsevier Inc.

Language: en