{"title":"“捕食者-猎物”动态系统的间隔扰动","authors":"S. Baranovskii, A. Bomba","doi":"10.31713/mcit.2019.57","DOIUrl":null,"url":null,"abstract":"A mathematical model of “predator-prey” population interactions with regard to diffusive and migratory factors of individuals’ dispersal in space is considered. In case the diffusive and migratory constituents are small as compared to other constituents of the process, it is suggested to search for the solution of a singular perturbed model problem in terms of asymptotical series ","PeriodicalId":275585,"journal":{"name":"Modeling, Control and Information Technologies","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spaced perturbations of “predator-prey” dynamic systems\",\"authors\":\"S. Baranovskii, A. Bomba\",\"doi\":\"10.31713/mcit.2019.57\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A mathematical model of “predator-prey” population interactions with regard to diffusive and migratory factors of individuals’ dispersal in space is considered. In case the diffusive and migratory constituents are small as compared to other constituents of the process, it is suggested to search for the solution of a singular perturbed model problem in terms of asymptotical series \",\"PeriodicalId\":275585,\"journal\":{\"name\":\"Modeling, Control and Information Technologies\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-11-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modeling, Control and Information Technologies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31713/mcit.2019.57\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modeling, Control and Information Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31713/mcit.2019.57","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spaced perturbations of “predator-prey” dynamic systems
A mathematical model of “predator-prey” population interactions with regard to diffusive and migratory factors of individuals’ dispersal in space is considered. In case the diffusive and migratory constituents are small as compared to other constituents of the process, it is suggested to search for the solution of a singular perturbed model problem in terms of asymptotical series