Dynamics Of Two Types Of Alcohol Models On Complex Network With Community Structure And Voluntary Drinking

Drinking is one of the main behaviors that harm human health.Due to genetic factors,or depression and other mental health conditions,people often don't need a social life to voluntary seek the help of alcohol,which can be called voluntary drinking,and active drinking is an important reason for drinking.On the other hand,the community structure is widely existed in many practical networks,so community structure and active drinking are introduced in this paper,and the drinking model on two kinds of complex networks are investigated.In Chapter 1,we mainly introduce the research background and necessary basic theory knowledge.In Chapter 2,a community structure and complex network model of alcoholism is proposed.The existence and stability of boundary equilibria and the positive equilibria are discussed.Furthermore,the theoretical results are verified by numerical simulation.At the same time,in order to verify contact tightness between communities and the number of alcoholics in the whole system.The results showed that the individual flow and spontaneous infection of the community had a significant effect on alcohol consumption.In Chapter 2,an SIRS model with replacement rate,natural mortality and spontaneous infection rate is built.In order to compare the difference with complex network model and mixing model,their dynamic behavior are further analyzed.The results show that the threshold value of complex network is more sensitive and more.