{"title":"Application of Promotion Process Based on Epidemic Models Considering Bidirectionality","authors":"Z. Duan, Baojun Du, Jiangang Zhang","doi":"10.1051/wujns/2022275383","DOIUrl":null,"url":null,"abstract":"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 discussed.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wuhan University Journal of Natural Sciences","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.1051/wujns/2022275383","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
引用次数: 0
Abstract
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 discussed.
期刊介绍:
Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.