{"title":"Stability Analysis of Age-Structured Stochastic Delayed Population-Toxicant Model with Lévy Noise.","authors":"Yanyan Du, Zong Wang","doi":"10.1177/15578666261423556","DOIUrl":null,"url":null,"abstract":"<p><p>In this article, we develop a new age-structured stochastic delayed toxicant-population model with Lévy noise. Some novel criteria for the existence of a global positive solution and the mean square <i>h</i>-<i>stability</i> of the addressed model are given. The key technique used to prove the results is the Lyapunov functional approach and Itô's formula. Finally, two numerical examples are provided to illustrate the effectiveness of our criteria.</p>","PeriodicalId":15526,"journal":{"name":"Journal of Computational Biology","volume":" ","pages":"355-378"},"PeriodicalIF":1.3000,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Biology","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1177/15578666261423556","RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/3/13 0:00:00","PubModel":"Epub","JCR":"Q4","JCRName":"BIOCHEMICAL RESEARCH METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we develop a new age-structured stochastic delayed toxicant-population model with Lévy noise. Some novel criteria for the existence of a global positive solution and the mean square h-stability of the addressed model are given. The key technique used to prove the results is the Lyapunov functional approach and Itô's formula. Finally, two numerical examples are provided to illustrate the effectiveness of our criteria.
期刊介绍:
Journal of Computational Biology is the leading peer-reviewed journal in computational biology and bioinformatics, publishing in-depth statistical, mathematical, and computational analysis of methods, as well as their practical impact. Available only online, this is an essential journal for scientists and students who want to keep abreast of developments in bioinformatics.
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-Reasoning by analogy, hypothesis formation, and testing by machine
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