{"title":"具有Allee效应的资本与自然资源的扩展Solow-Swan模型","authors":"Bartłomiej Kluczyński","doi":"10.4064/am2424-5-2021","DOIUrl":null,"url":null,"abstract":"We study an extended Solow–Swan model for capital, denoted by K, and natural resources, denoted by N . We are interested in production, denoted by Y , expressed by a simplification of the Cobb–Douglas function Y = f(K,L,A) with L = A = 1. We study the model described by the following system of ODEs: { K̇ = sKα − δK, Ṅ = rN ( N CT − 1 ) ( 1− N CC ) − γ0K. We study the asymptotics of solutions; among other things, we find critical points, determine their stability and find their attraction basins. This article was inspired by [M. Kornafel, I. Telega, Int. J. Sustainable Economy 12 (2020), 1–24].","PeriodicalId":52313,"journal":{"name":"Applicationes Mathematicae","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extended Solow–Swan model for capital and natural resources with the Allee effect\",\"authors\":\"Bartłomiej Kluczyński\",\"doi\":\"10.4064/am2424-5-2021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study an extended Solow–Swan model for capital, denoted by K, and natural resources, denoted by N . We are interested in production, denoted by Y , expressed by a simplification of the Cobb–Douglas function Y = f(K,L,A) with L = A = 1. We study the model described by the following system of ODEs: { K̇ = sKα − δK, Ṅ = rN ( N CT − 1 ) ( 1− N CC ) − γ0K. We study the asymptotics of solutions; among other things, we find critical points, determine their stability and find their attraction basins. This article was inspired by [M. Kornafel, I. Telega, Int. J. Sustainable Economy 12 (2020), 1–24].\",\"PeriodicalId\":52313,\"journal\":{\"name\":\"Applicationes Mathematicae\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applicationes Mathematicae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/am2424-5-2021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applicationes Mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/am2424-5-2021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Extended Solow–Swan model for capital and natural resources with the Allee effect
We study an extended Solow–Swan model for capital, denoted by K, and natural resources, denoted by N . We are interested in production, denoted by Y , expressed by a simplification of the Cobb–Douglas function Y = f(K,L,A) with L = A = 1. We study the model described by the following system of ODEs: { K̇ = sKα − δK, Ṅ = rN ( N CT − 1 ) ( 1− N CC ) − γ0K. We study the asymptotics of solutions; among other things, we find critical points, determine their stability and find their attraction basins. This article was inspired by [M. Kornafel, I. Telega, Int. J. Sustainable Economy 12 (2020), 1–24].
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
