{"title":"探索单一捕食者-猎物系统的周期性行为","authors":"Zaitao Liang, Haining Zhu","doi":"10.1007/s00013-024-02074-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we delve into a singular periodic predator-prey system, a model that aptly captures the intricate dynamics of human population evolution on Easter Island. Based on the coincidence degree theory for first-order high-dimensional differential systems, we derive a novel result regarding the existence of positive periodic solution for this system. Additionally, we offer numerical simulations to visualize and substantiate our theoretical result.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"124 1","pages":"99 - 107"},"PeriodicalIF":0.5000,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exploring the periodic behavior of a singular predator-prey system\",\"authors\":\"Zaitao Liang, Haining Zhu\",\"doi\":\"10.1007/s00013-024-02074-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we delve into a singular periodic predator-prey system, a model that aptly captures the intricate dynamics of human population evolution on Easter Island. Based on the coincidence degree theory for first-order high-dimensional differential systems, we derive a novel result regarding the existence of positive periodic solution for this system. Additionally, we offer numerical simulations to visualize and substantiate our theoretical result.</p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":\"124 1\",\"pages\":\"99 - 107\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-02074-x\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-02074-x","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Exploring the periodic behavior of a singular predator-prey system
In this paper, we delve into a singular periodic predator-prey system, a model that aptly captures the intricate dynamics of human population evolution on Easter Island. Based on the coincidence degree theory for first-order high-dimensional differential systems, we derive a novel result regarding the existence of positive periodic solution for this system. Additionally, we offer numerical simulations to visualize and substantiate our theoretical result.
期刊介绍：
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
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