{"title":"通过各种传播方式的艾滋病毒感染动态分数阶模型","authors":"Jyotiska Phukan, Hemen Dutta","doi":"10.1140/epjs/s11734-024-01258-4","DOIUrl":null,"url":null,"abstract":"<p>The prime objective of this work is to analyze a Caputo fractional order HIV model where infection occurs through various modes. A detailed investigation on existence, uniqueness, boundedness as well as non-negativity of solutions have been performed at first. Stability analysis of the fixed points has been carried out in the next section. Sensitivity analysis of the threshold parameter has also been performed. Finally, a series of numerical simulations are used to confirm theoretical findings.</p>","PeriodicalId":501403,"journal":{"name":"The European Physical Journal Special Topics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A fractional order model for dynamics of HIV infection through various modes of transmission\",\"authors\":\"Jyotiska Phukan, Hemen Dutta\",\"doi\":\"10.1140/epjs/s11734-024-01258-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The prime objective of this work is to analyze a Caputo fractional order HIV model where infection occurs through various modes. A detailed investigation on existence, uniqueness, boundedness as well as non-negativity of solutions have been performed at first. Stability analysis of the fixed points has been carried out in the next section. Sensitivity analysis of the threshold parameter has also been performed. Finally, a series of numerical simulations are used to confirm theoretical findings.</p>\",\"PeriodicalId\":501403,\"journal\":{\"name\":\"The European Physical Journal Special Topics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Special Topics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1140/epjs/s11734-024-01258-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Special Topics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1140/epjs/s11734-024-01258-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A fractional order model for dynamics of HIV infection through various modes of transmission
The prime objective of this work is to analyze a Caputo fractional order HIV model where infection occurs through various modes. A detailed investigation on existence, uniqueness, boundedness as well as non-negativity of solutions have been performed at first. Stability analysis of the fixed points has been carried out in the next section. Sensitivity analysis of the threshold parameter has also been performed. Finally, a series of numerical simulations are used to confirm theoretical findings.
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