TITLE:
Spreading Dynamic of a PLSGP Giving up Smoking Model on Scale-Free Network
AUTHORS:
Yanling Fei, Xiongding Liu
KEYWORDS:
Spreading Dynamic, Smoking, Basic Reproduction Number, Equilibrium, Scale-Free Network
JOURNAL NAME:
Open Access Library Journal,
Vol.5 No.2,
February
23,
2018
ABSTRACT: A new PLSGP (potential smokers-light smokers-persistent smokers-giving up smokers-potential smokers) model with birth and death rates on complex heterogeneous networks is presented. Using the mean-field theory, we obtain the basic reproduction number R0 and find that basic reproduction number for constant contact is independent of the topology of the underlying networks. When R0R0＞1, the smoking-present equilibrium is global attractivity, then the number of smoker will remain stable and smoking will become endemic. Numerical simulations illustrated theoretical results. Our result shows that the model is very important to control the spread of the smoking.