{"title":"COVID-19疫苗接种期间传播力的数学模型","authors":"F. Aqel, A. Hamza, A. Nour Eddine","doi":"10.32523/2306-6172-2023-11-1-4-28","DOIUrl":null,"url":null,"abstract":"The aim of this work is to develop a new Reservoir People (RP) transmission mathematical model, to simulate the potential transmission of COVID-19 virus and Delta variant in the Moroccan population during the vaccination period. The originality of this work resides in the fact that the different parameters that appear in the model problem, depend on the period of vaccination. The existence and uniqueness of non-negative normalized solutions are proved. A cost function to minimize with respect to the parameters is defined. To this aim, a novel hybrid algorithm, called Neural Network with Sine-Cosine algorithm (NNSCA) is proposed. The obtained numerical simulation confirms that our model is robust and can efficiently predict the evolution of the virus in Morocco during the vaccination period.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"MATHEMATICAL MODEL OF COVID-19 TRANSMISSIBILITY DURING THE VACCINATION PERIOD\",\"authors\":\"F. Aqel, A. Hamza, A. Nour Eddine\",\"doi\":\"10.32523/2306-6172-2023-11-1-4-28\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this work is to develop a new Reservoir People (RP) transmission mathematical model, to simulate the potential transmission of COVID-19 virus and Delta variant in the Moroccan population during the vaccination period. The originality of this work resides in the fact that the different parameters that appear in the model problem, depend on the period of vaccination. The existence and uniqueness of non-negative normalized solutions are proved. A cost function to minimize with respect to the parameters is defined. To this aim, a novel hybrid algorithm, called Neural Network with Sine-Cosine algorithm (NNSCA) is proposed. The obtained numerical simulation confirms that our model is robust and can efficiently predict the evolution of the virus in Morocco during the vaccination period.\",\"PeriodicalId\":42910,\"journal\":{\"name\":\"Eurasian Journal of Mathematical and Computer Applications\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Eurasian Journal of Mathematical and Computer Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32523/2306-6172-2023-11-1-4-28\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Eurasian Journal of Mathematical and Computer Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2306-6172-2023-11-1-4-28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
MATHEMATICAL MODEL OF COVID-19 TRANSMISSIBILITY DURING THE VACCINATION PERIOD
The aim of this work is to develop a new Reservoir People (RP) transmission mathematical model, to simulate the potential transmission of COVID-19 virus and Delta variant in the Moroccan population during the vaccination period. The originality of this work resides in the fact that the different parameters that appear in the model problem, depend on the period of vaccination. The existence and uniqueness of non-negative normalized solutions are proved. A cost function to minimize with respect to the parameters is defined. To this aim, a novel hybrid algorithm, called Neural Network with Sine-Cosine algorithm (NNSCA) is proposed. The obtained numerical simulation confirms that our model is robust and can efficiently predict the evolution of the virus in Morocco during the vaccination period.
期刊介绍:
Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.