{"title":"POSITIVE PERIODIC SOLUTIONS OF NONAUTONOMOUS LOTKA–VOLTERRA DYNAMIC SYSTEMS WITH A GENERAL ATTACK RATE ON TIME SCALES","authors":"Belkis Bordj, Abdelouaheb Ardjouni","doi":"10.1216/rmj.2023.53.1371","DOIUrl":null,"url":null,"abstract":"Our purpose is to extend the work of Lois-Prados and Precup (2020) and use the Krasnoselskii-type homotopy fixed-point theorem to prove the existence of positive periodic solutions of nonautonomous Lotka–Volterra dynamic systems with a general attack rate on time scales.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rocky Mountain Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1216/rmj.2023.53.1371","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Our purpose is to extend the work of Lois-Prados and Precup (2020) and use the Krasnoselskii-type homotopy fixed-point theorem to prove the existence of positive periodic solutions of nonautonomous Lotka–Volterra dynamic systems with a general attack rate on time scales.
期刊介绍:
Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles.
The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics.
In addition, the journal publishes specialized conference proceedings.