{"title":"On a Fractional Variable-Order Model of MERS-CoV","authors":"M. Khalil, A. Arafa, A. Sayed","doi":"10.18576/pfda/090213","DOIUrl":null,"url":null,"abstract":"In this paper, a non-integer variable-order epidemiological model is presented to study the human-to-human transmission of Middle East respiratory syndrome coronavirus (MERS-CoV) pandemic in two areas. In the presented SISImodel, the human population is divided into two compartments;susceptible and infectious compartments. The impact of the memory which changes with time in the sense of Caputo's derivative of fractional variable-order is studied through the numerical solutions of the proposed model. The numerical solutions are obtained via predictor corrector method. Moreover, the equilibrium points and stability of the model are illustrated. © 2023 NSP Natural Sciences Publishing Cor","PeriodicalId":52160,"journal":{"name":"Progress in Fractional Differentiation and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Fractional Differentiation and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18576/pfda/090213","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
关于MERS-CoV的分数阶变阶模型
本文提出了一个非整数变阶流行病学模型来研究中东呼吸综合征冠状病毒(MERS-CoV)在两个地区的人传人。在所提出的SISI模型中,人类被分为两个部分;易感和传染性区室。通过该模型的数值解,研究了分数阶Caputo导数意义下记忆随时间变化的影响。通过预测-校正方法得到了数值解。此外,还说明了模型的平衡点和稳定性。©2023 NSP自然科学出版社
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