{"title":"带开关的纯跳跃噪声种群动力学的均衡性","authors":"Zhenzhong Zhang , Wenze Chen , Hanlu Yang , Jinying Tong , Xin Zhao","doi":"10.1016/j.nahs.2024.101521","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we consider the long time behavior for an <span><math><mi>n</mi></math></span>-dimensional population model driven by truncated <span><math><mi>α</mi></math></span>-stable processes for interacting species. Some sufficient conditions for ergodicity or transience for our systems are given. This paper discloses the different jump measures impact on such pure-jumps population dynamics.</p></div>","PeriodicalId":49011,"journal":{"name":"Nonlinear Analysis-Hybrid Systems","volume":"54 ","pages":"Article 101521"},"PeriodicalIF":3.7000,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ergodicity for population dynamics by pure-jump noise with switching\",\"authors\":\"Zhenzhong Zhang , Wenze Chen , Hanlu Yang , Jinying Tong , Xin Zhao\",\"doi\":\"10.1016/j.nahs.2024.101521\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we consider the long time behavior for an <span><math><mi>n</mi></math></span>-dimensional population model driven by truncated <span><math><mi>α</mi></math></span>-stable processes for interacting species. Some sufficient conditions for ergodicity or transience for our systems are given. This paper discloses the different jump measures impact on such pure-jumps population dynamics.</p></div>\",\"PeriodicalId\":49011,\"journal\":{\"name\":\"Nonlinear Analysis-Hybrid Systems\",\"volume\":\"54 \",\"pages\":\"Article 101521\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Hybrid Systems\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1751570X2400058X\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Hybrid Systems","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1751570X2400058X","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
摘要
在本文中，我们考虑了由相互作用物种的截断 α 稳定过程驱动的 n 维种群模型的长期行为。本文给出了我们的系统具有遍历性或瞬时性的一些充分条件。本文揭示了不同的跳跃量对这种纯跳跃种群动力学的影响。
Ergodicity for population dynamics by pure-jump noise with switching
In this paper we consider the long time behavior for an -dimensional population model driven by truncated -stable processes for interacting species. Some sufficient conditions for ergodicity or transience for our systems are given. This paper discloses the different jump measures impact on such pure-jumps population dynamics.
期刊介绍：
Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
