典型文献
Dynamics and near-optimal control in a stochastic rumor propagation model incorporating media coverage and Lévy noise
文献摘要:
The appearance of rumors intensifies people's panic and affects social stability.How to control the spread of rumors has become an important issue which is worth studying.In order to more accurately reflect the actual situation in the real world,a stochastic model incorporating media coverage and Lévy noise is proposed to describe the dynamic process of rumor propagation.By introducing two control strategies of popular science education and media coverage in an emergency event,an near-optimal control problem that minimizes the influence and control cost of rumor propagation is proposed.Sufficient conditions for near-optimal control of the model are established by using a Hamiltonian function.Then the necessary conditions for near-optimal control are obtained by using the Pontryagin maximum principle.Finally,the effect of popular science education,media coverage and Lévy noise on rumor propagation process control is verified by numerical simulation.
文献关键词:
中图分类号:
作者姓名:
Liang'an Huo;Yafang Dong
作者机构:
Business School,University of Shanghai for Science and Technology,Shanghai 200093,China
文献出处:
引用格式:
[1]Liang'an Huo;Yafang Dong-.Dynamics and near-optimal control in a stochastic rumor propagation model incorporating media coverage and Lévy noise)[J].中国物理B(英文版),2022(03):163-176
A类:
rumors
B类:
Dynamics,near,optimal,control,stochastic,propagation,model,incorporating,media,coverage,vy,noise,appearance,intensifies,people,panic,affects,social,stability,How,spread,become,important,issue,which,worth,studying,In,order,more,accurately,reflect,actual,situation,real,world,proposed,describe,dynamic,process,By,introducing,two,strategies,popular,science,education,emergency,event,problem,that,minimizes,influence,cost,Sufficient,conditions,are,established,by,using,Hamiltonian,function,Then,necessary,obtained,Pontryagin,maximum,principle,Finally,effect,verified,numerical,simulation
AB值:
0.513178
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