{"title":"摩洛哥分数阶COVID - 19大流行模型:动力学分析和数值模拟","authors":"M. Gouda, A. Elsayed, I. Hanafy, A. Arafa","doi":"10.21608/ajbas.2021.99552.1071","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce fractional order COVID-19 model in Morocco. We analyse the presented model by calculating reproductive ratio ,finding free disease equilibrium point and studying local and global stability of free disease equilibrium point to show the advantages of fractional order model ,we simulate model by using (PECE) method for fractional order and compare our results to clinical data which obtained from morocco cases from 18 march 2020 to 5 April 2020 . From presented figures, we can easily see that data from fractional order is better than data obtained by integer order model according to the comparison with clinical data","PeriodicalId":210712,"journal":{"name":"Alfarama Journal of Basic & Applied Sciences","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractional order COVID 19 pandemic model in Morocco: Dynamical analysis and Numerical simulation\",\"authors\":\"M. Gouda, A. Elsayed, I. Hanafy, A. Arafa\",\"doi\":\"10.21608/ajbas.2021.99552.1071\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce fractional order COVID-19 model in Morocco. We analyse the presented model by calculating reproductive ratio ,finding free disease equilibrium point and studying local and global stability of free disease equilibrium point to show the advantages of fractional order model ,we simulate model by using (PECE) method for fractional order and compare our results to clinical data which obtained from morocco cases from 18 march 2020 to 5 April 2020 . From presented figures, we can easily see that data from fractional order is better than data obtained by integer order model according to the comparison with clinical data\",\"PeriodicalId\":210712,\"journal\":{\"name\":\"Alfarama Journal of Basic & Applied Sciences\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-11-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Alfarama Journal of Basic & Applied Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/ajbas.2021.99552.1071\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Alfarama Journal of Basic & Applied Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/ajbas.2021.99552.1071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional order COVID 19 pandemic model in Morocco: Dynamical analysis and Numerical simulation
In this paper, we introduce fractional order COVID-19 model in Morocco. We analyse the presented model by calculating reproductive ratio ,finding free disease equilibrium point and studying local and global stability of free disease equilibrium point to show the advantages of fractional order model ,we simulate model by using (PECE) method for fractional order and compare our results to clinical data which obtained from morocco cases from 18 march 2020 to 5 April 2020 . From presented figures, we can easily see that data from fractional order is better than data obtained by integer order model according to the comparison with clinical data
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