{"title":"季节性合作系统的几乎周期性解","authors":"H. Díaz-Marín, F. J. López-Hernández, O. Osuna","doi":"10.4064/ap210128-19-8","DOIUrl":null,"url":null,"abstract":"We present a criterion for the existence of a stable almost periodic solution for a cooperative almost periodic system. We also give conditions under which there is global stability of this almost periodic solution in a certain domain. We apply our results to systems arising from cell volume growth with almost periodic growth factors, and to systems arising from Michaelis–Menten formalism modeling enzyme kinetics with an almost periodic substrate input and an almost periodic enzyme replacement.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"32 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Almost periodic solutions for seasonal cooperative systems\",\"authors\":\"H. Díaz-Marín, F. J. López-Hernández, O. Osuna\",\"doi\":\"10.4064/ap210128-19-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a criterion for the existence of a stable almost periodic solution for a cooperative almost periodic system. We also give conditions under which there is global stability of this almost periodic solution in a certain domain. We apply our results to systems arising from cell volume growth with almost periodic growth factors, and to systems arising from Michaelis–Menten formalism modeling enzyme kinetics with an almost periodic substrate input and an almost periodic enzyme replacement.\",\"PeriodicalId\":55513,\"journal\":{\"name\":\"Annales Polonici Mathematici\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Polonici Mathematici\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4064/ap210128-19-8\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Polonici Mathematici","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/ap210128-19-8","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Almost periodic solutions for seasonal cooperative systems
We present a criterion for the existence of a stable almost periodic solution for a cooperative almost periodic system. We also give conditions under which there is global stability of this almost periodic solution in a certain domain. We apply our results to systems arising from cell volume growth with almost periodic growth factors, and to systems arising from Michaelis–Menten formalism modeling enzyme kinetics with an almost periodic substrate input and an almost periodic enzyme replacement.
期刊介绍:
Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba.
The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.