{"title":"具有个体年龄结构和人口过剩的人口动态非线性模型的逆问题","authors":"","doi":"10.3103/s0278641924010072","DOIUrl":null,"url":null,"abstract":"<span> <h3>Abstract</h3> <p>The authors consider the inverse problem of restoring the coefficient in a nonlinear equation of a dynamic model of a homogeneous biological population of organisms structured according to age. The model allows for the dependence of parameters of the vital activity of individuals on the population size. Some coefficients of the model are nonlocal and have an integral structure. Conditions for the uniqueness of the solution of the inverse problem are established.</p> </span>","PeriodicalId":501582,"journal":{"name":"Moscow University Computational Mathematics and Cybernetics","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Inverse Problem for a Nonlinear Model of Population Dynamics with the Age Structure of Individuals and Overpopulation\",\"authors\":\"\",\"doi\":\"10.3103/s0278641924010072\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<span> <h3>Abstract</h3> <p>The authors consider the inverse problem of restoring the coefficient in a nonlinear equation of a dynamic model of a homogeneous biological population of organisms structured according to age. The model allows for the dependence of parameters of the vital activity of individuals on the population size. Some coefficients of the model are nonlocal and have an integral structure. Conditions for the uniqueness of the solution of the inverse problem are established.</p> </span>\",\"PeriodicalId\":501582,\"journal\":{\"name\":\"Moscow University Computational Mathematics and Cybernetics\",\"volume\":\"27 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Computational Mathematics and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3103/s0278641924010072\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Computational Mathematics and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s0278641924010072","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Inverse Problem for a Nonlinear Model of Population Dynamics with the Age Structure of Individuals and Overpopulation
Abstract
The authors consider the inverse problem of restoring the coefficient in a nonlinear equation of a dynamic model of a homogeneous biological population of organisms structured according to age. The model allows for the dependence of parameters of the vital activity of individuals on the population size. Some coefficients of the model are nonlocal and have an integral structure. Conditions for the uniqueness of the solution of the inverse problem are established.
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