%0 Journal Article
%T Spreading Dynamic of a <i>PLSGP</i> Giving up Smoking Model on Scale-Free Network
%A Yanling Fei
%A Xiongding Liu
%J Open Access Library Journal
%V 5
%N 2
%P 1-14
%@ 2333-9721
%D 2018
%I Open Access Library
%R 10.4236/oalib.1104365
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">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 <em>R</em><sub>0</sub> and find that basic reproduction number for constant contact is independent of the topology of the underlying networks. When <em>R</em><sub>0</sub>£¼1, the smoking-free equilibrium is globally asymptotically stable, then the smoking will disappear. When <em>R</em><sub>0</sub>£¾1, 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.</span>
</div>
%K Spreading Dynamic
%K Smoking
%K Basic Reproduction Number
%K Equilibrium
%K Scale-Free Network
%U http://www.oalib.com/paper/5293107