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典型文献
Application of Promotion Process Based on Epidemic Models Considering Bidirectionality
文献摘要:
In this paper,on the basis of previous epidemic models,we considered the bidirectionality of a certain process of the model and established the Ignorant,Exposers,Resister of product,Supporter of product,Uninterested(IERSU)model,and applied it to a new field.Firstly,the next generation matrix method was used to obtain the threshold parameter which helps to distinguish the equilibrium point of the model.Secondly,the local and global stability of the equilibrium point of the model were proved by the judgment and properties of the negative definite matrix,Lyapunov's first method and LaSalle's invariance principle.Finally,according to the numerical simulation,the influence of different parameters of the model was analyzed and a series of strategies were dis-cussed.
文献关键词:
作者姓名:
DUAN Zhe;DU Baojun;ZHANG Jiangang
作者机构:
School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China
引用格式:
[1]DUAN Zhe;DU Baojun;ZHANG Jiangang-.Application of Promotion Process Based on Epidemic Models Considering Bidirectionality)[J].武汉大学自然科学学报(英文版),2022(05):383-395
A类:
Bidirectionality,bidirectionality,Ignorant,Exposers,Resister,Supporter,Uninterested,IERSU
B类:
Application,Promotion,Process,Based,Epidemic,Models,Considering,In,this,paper,basis,previous,epidemic,models,considered,certain,process,established,product,applied,new,field,Firstly,next,generation,matrix,method,was,used,obtain,threshold,which,helps,distinguish,equilibrium,point,Secondly,local,global,stability,were,proved,by,judgment,properties,negative,definite,Lyapunov,first,LaSalle,invariance,principle,Finally,according,numerical,simulation,influence,different,parameters,analyzed,series,strategies,cussed
AB值:
0.564393
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