{"title":"媒体恐惧对新冠肺炎疫情控制的影响:一项数学研究","authors":"C. Maji","doi":"10.1155/2021/2129490","DOIUrl":null,"url":null,"abstract":"The COVID-19 pandemic has put the world in threat for a long time It was first identified in Wuhan, China, in December 2019 and has been declared a pandemic by the WHO This disease is mainly caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) So far, no vaccine or medicine has been developed for the proper treatment of this disease, so people are afraid of getting infected The pandemic has placed many nations at the door of socioeconomic emergencies Therefore, it is very important to predict the development trend of this epidemic, and we know mathematical modelling is a basic tool to research the dynamic behaviour of disease and predict the spreading trend of the disease In this study, we have formulated a mathematical model for the COVID-19 outbreak by introducing a quarantine class with media-induced fear in the disease transmission rate to analyze the dynamic behaviour of this epidemic We have calculated the basic reproduction number R0, and we observed that when R0 1, then the system is permanent and there exists a unique endemic equilibrium point Global stability of the endemic equilibrium point is developed by using Li and Muldowney's high-dimensional Bendixson criterion Finally, some numerical simulations are performed using MATLAB to verify our analytical results [ABSTRACT FROM AUTHOR] Copyright of International Journal of Differential Equations is the property of Hindawi Limited and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission However, users may print, download, or email articles for individual use This abstract may be abridged No warranty is given about the accuracy of the copy Users should refer to the original published version of the material for the full abstract (Copyright applies to all Abstracts )","PeriodicalId":55967,"journal":{"name":"International Journal of Differential Equations","volume":" ","pages":"1-11"},"PeriodicalIF":1.4000,"publicationDate":"2021-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study\",\"authors\":\"C. Maji\",\"doi\":\"10.1155/2021/2129490\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The COVID-19 pandemic has put the world in threat for a long time It was first identified in Wuhan, China, in December 2019 and has been declared a pandemic by the WHO This disease is mainly caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) So far, no vaccine or medicine has been developed for the proper treatment of this disease, so people are afraid of getting infected The pandemic has placed many nations at the door of socioeconomic emergencies Therefore, it is very important to predict the development trend of this epidemic, and we know mathematical modelling is a basic tool to research the dynamic behaviour of disease and predict the spreading trend of the disease In this study, we have formulated a mathematical model for the COVID-19 outbreak by introducing a quarantine class with media-induced fear in the disease transmission rate to analyze the dynamic behaviour of this epidemic We have calculated the basic reproduction number R0, and we observed that when R0 1, then the system is permanent and there exists a unique endemic equilibrium point Global stability of the endemic equilibrium point is developed by using Li and Muldowney's high-dimensional Bendixson criterion Finally, some numerical simulations are performed using MATLAB to verify our analytical results [ABSTRACT FROM AUTHOR] Copyright of International Journal of Differential Equations is the property of Hindawi Limited and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission However, users may print, download, or email articles for individual use This abstract may be abridged No warranty is given about the accuracy of the copy Users should refer to the original published version of the material for the full abstract (Copyright applies to all Abstracts )\",\"PeriodicalId\":55967,\"journal\":{\"name\":\"International Journal of Differential Equations\",\"volume\":\" \",\"pages\":\"1-11\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2021-02-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2021/2129490\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2021/2129490","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study
The COVID-19 pandemic has put the world in threat for a long time It was first identified in Wuhan, China, in December 2019 and has been declared a pandemic by the WHO This disease is mainly caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) So far, no vaccine or medicine has been developed for the proper treatment of this disease, so people are afraid of getting infected The pandemic has placed many nations at the door of socioeconomic emergencies Therefore, it is very important to predict the development trend of this epidemic, and we know mathematical modelling is a basic tool to research the dynamic behaviour of disease and predict the spreading trend of the disease In this study, we have formulated a mathematical model for the COVID-19 outbreak by introducing a quarantine class with media-induced fear in the disease transmission rate to analyze the dynamic behaviour of this epidemic We have calculated the basic reproduction number R0, and we observed that when R0 1, then the system is permanent and there exists a unique endemic equilibrium point Global stability of the endemic equilibrium point is developed by using Li and Muldowney's high-dimensional Bendixson criterion Finally, some numerical simulations are performed using MATLAB to verify our analytical results [ABSTRACT FROM AUTHOR] Copyright of International Journal of Differential Equations is the property of Hindawi Limited and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission However, users may print, download, or email articles for individual use This abstract may be abridged No warranty is given about the accuracy of the copy Users should refer to the original published version of the material for the full abstract (Copyright applies to all Abstracts )