H. Yoshioka, Y. Yaegashi, Y. Yoshioka, Kentaro Tsugihashi
{"title":"一个随机开放式物流增长模型的分析与应用","authors":"H. Yoshioka, Y. Yaegashi, Y. Yoshioka, Kentaro Tsugihashi","doi":"10.1080/23737867.2019.1691946","DOIUrl":null,"url":null,"abstract":"ABSTRACT A minimal stochastic generalization of a deterministic open-ended logistic growth model is proposed for efficiently describing the biological growth of individual organisms under natural environment. The model is a system of stochastic differential equations. Its unique solvability in a strong sense is proven, and the behaviour of the solution is analysed. The presented model is then applied to the migratory fish Plecoglossus altivelis altivelis (P. altivelis, Ayu) having a one-year life history based on the data sets collected in 2017 and 2018.","PeriodicalId":37222,"journal":{"name":"Letters in Biomathematics","volume":"6 1","pages":"67 - 77"},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23737867.2019.1691946","citationCount":"8","resultStr":"{\"title\":\"A short note on analysis and application of a stochastic open-ended logistic growth model\",\"authors\":\"H. Yoshioka, Y. Yaegashi, Y. Yoshioka, Kentaro Tsugihashi\",\"doi\":\"10.1080/23737867.2019.1691946\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT A minimal stochastic generalization of a deterministic open-ended logistic growth model is proposed for efficiently describing the biological growth of individual organisms under natural environment. The model is a system of stochastic differential equations. Its unique solvability in a strong sense is proven, and the behaviour of the solution is analysed. The presented model is then applied to the migratory fish Plecoglossus altivelis altivelis (P. altivelis, Ayu) having a one-year life history based on the data sets collected in 2017 and 2018.\",\"PeriodicalId\":37222,\"journal\":{\"name\":\"Letters in Biomathematics\",\"volume\":\"6 1\",\"pages\":\"67 - 77\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/23737867.2019.1691946\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Biomathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/23737867.2019.1691946\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Biomathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23737867.2019.1691946","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
A short note on analysis and application of a stochastic open-ended logistic growth model
ABSTRACT A minimal stochastic generalization of a deterministic open-ended logistic growth model is proposed for efficiently describing the biological growth of individual organisms under natural environment. The model is a system of stochastic differential equations. Its unique solvability in a strong sense is proven, and the behaviour of the solution is analysed. The presented model is then applied to the migratory fish Plecoglossus altivelis altivelis (P. altivelis, Ayu) having a one-year life history based on the data sets collected in 2017 and 2018.
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