{"title":"用sba数值方法精确解两个相互竞争的捕食者种群动态的分数模型","authors":"Jeremie Yiyureboula Bationo, Francis Bassono","doi":"10.17654/2277141723018","DOIUrl":null,"url":null,"abstract":"In this paper, we use the SBA numerical method by applying Picard’s principle for solving a system of fractional equations. We first state the convergence of the SBA algorithm before proceeding to the search for the possible solution. A graphical representation of the solution for different values of the perturbation parameter and fractional parameter allows the behavior of the curve to be examined. Received: May 3, 2023Accepted: June 29, 2023","PeriodicalId":497740,"journal":{"name":"Universal journal of mathematics and mathematical sciences","volume":"52 1-2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"EXACT SOLUTION OF A FRACTIONAL MODEL OF THE DYNAMICS OF TWO COMPETING PREY-PREDATOR POPULATIONS USING THE SBA NUMERICAL METHOD\",\"authors\":\"Jeremie Yiyureboula Bationo, Francis Bassono\",\"doi\":\"10.17654/2277141723018\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we use the SBA numerical method by applying Picard’s principle for solving a system of fractional equations. We first state the convergence of the SBA algorithm before proceeding to the search for the possible solution. A graphical representation of the solution for different values of the perturbation parameter and fractional parameter allows the behavior of the curve to be examined. Received: May 3, 2023Accepted: June 29, 2023\",\"PeriodicalId\":497740,\"journal\":{\"name\":\"Universal journal of mathematics and mathematical sciences\",\"volume\":\"52 1-2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Universal journal of mathematics and mathematical sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17654/2277141723018\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Universal journal of mathematics and mathematical sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17654/2277141723018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
EXACT SOLUTION OF A FRACTIONAL MODEL OF THE DYNAMICS OF TWO COMPETING PREY-PREDATOR POPULATIONS USING THE SBA NUMERICAL METHOD
In this paper, we use the SBA numerical method by applying Picard’s principle for solving a system of fractional equations. We first state the convergence of the SBA algorithm before proceeding to the search for the possible solution. A graphical representation of the solution for different values of the perturbation parameter and fractional parameter allows the behavior of the curve to be examined. Received: May 3, 2023Accepted: June 29, 2023