{"title":"钩端螺旋体病传播的分数阶模型","authors":"M. El-shahed","doi":"10.12988/IJMA.2014.410312","DOIUrl":null,"url":null,"abstract":"This paper deals with the fractional order for the spread of Leptospirosis. The non-local property of Leptospirosis epidemic model presented by fractional order differential equation makes the model to be more realistic compare to the analogues integer order, which lacks this property. The stability of disease free and positive fixed points is studied. We show that the model introduced in this paper has non negative solutions. AdamsBashforthMoulton algorithm have been used to solve and simulate the system of differential equations. Mathematics Subject Classification: 92B05, 93A30, 93C15","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Fractional order model for the spread of leptospirosis\",\"authors\":\"M. El-shahed\",\"doi\":\"10.12988/IJMA.2014.410312\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the fractional order for the spread of Leptospirosis. The non-local property of Leptospirosis epidemic model presented by fractional order differential equation makes the model to be more realistic compare to the analogues integer order, which lacks this property. The stability of disease free and positive fixed points is studied. We show that the model introduced in this paper has non negative solutions. AdamsBashforthMoulton algorithm have been used to solve and simulate the system of differential equations. Mathematics Subject Classification: 92B05, 93A30, 93C15\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/IJMA.2014.410312\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2014.410312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional order model for the spread of leptospirosis
This paper deals with the fractional order for the spread of Leptospirosis. The non-local property of Leptospirosis epidemic model presented by fractional order differential equation makes the model to be more realistic compare to the analogues integer order, which lacks this property. The stability of disease free and positive fixed points is studied. We show that the model introduced in this paper has non negative solutions. AdamsBashforthMoulton algorithm have been used to solve and simulate the system of differential equations. Mathematics Subject Classification: 92B05, 93A30, 93C15
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