Global dynamics for a multi-group alcoholism model with public health education and alcoholism age.
Math Biosci Eng
; 16(3): 1683-1708, 2019 02 27.
Article
in En
| MEDLINE
| ID: mdl-30947438
ABSTRACT
A new multi-group alcoholism model with public health education and alcoholism age is considered. The basic reproduction number R0 is defined and mathematical analyses show that dynamics of model are determined by the basic reproduction number. The alcohol-free equilibrium P0 of the model is globally asymptotically stable if R0≤1 while the alcohol-present equilibrium P* of the model exists uniquely and is globally asymptotically stable if R0>1. The Lyapunov functionals for the globally asymptotically stable of the multi-group model are constructed by using the theory of non-negative matrices and a graph-theoretic approach. Meanwhile, the combined effects of the public health education and the alcoholism age on alcoholism dynamics are displayed. Our main results show that strengthening public health education and decreasing the age of the alcoholism are very helpful for the control of alcoholism.
Key words
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Main subject:
Public Health
/
Patient Education as Topic
/
Alcoholism
Type of study:
Prognostic_studies
/
Risk_factors_studies
Aspects:
Determinantes_sociais_saude
Limits:
Humans
Language:
En
Journal:
Math Biosci Eng
Year:
2019
Document type:
Article