{"title":"具有阶段结构的周期性比率依赖种群系统的持久与灭绝","authors":"Ahmadjan Muhammadhaji","doi":"10.22436/mns.05.01.03","DOIUrl":null,"url":null,"abstract":"This paper studies a class of nonautonomous two-species ratio-dependent population system with stage structure. Some sufficient conditions on the boundedness, permanence, extinction, and periodic solution of the system are established by using the comparison method.","PeriodicalId":443718,"journal":{"name":"Mathematics in Natural Science","volume":"136 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Permanence and extinction in a periodic ratio-dependent population system with stage structure\",\"authors\":\"Ahmadjan Muhammadhaji\",\"doi\":\"10.22436/mns.05.01.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies a class of nonautonomous two-species ratio-dependent population system with stage structure. Some sufficient conditions on the boundedness, permanence, extinction, and periodic solution of the system are established by using the comparison method.\",\"PeriodicalId\":443718,\"journal\":{\"name\":\"Mathematics in Natural Science\",\"volume\":\"136 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics in Natural Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/mns.05.01.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in Natural Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/mns.05.01.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Permanence and extinction in a periodic ratio-dependent population system with stage structure
This paper studies a class of nonautonomous two-species ratio-dependent population system with stage structure. Some sufficient conditions on the boundedness, permanence, extinction, and periodic solution of the system are established by using the comparison method.