{"title":"不同功能氮吸收动力学的植物-土壤模型分析","authors":"Jeongwook Chang, Seong-a Shim","doi":"10.12732/ijam.v32i5.2","DOIUrl":null,"url":null,"abstract":"This paper analyzes the Plant-Soil Models with functional nitrogen uptake kinetics. In this work we focus on the effects of using different forms of nitrogen uptake kinetic function for the dynamics of Plant-Soil model including Holling type II and III. We present the derivations of these two different type of functional kinetics for the general enzyme-substrate reaction process. For the Plant-Soil Model the local existence and positive invariance of the solution are investigated. Also some conditions to guarantee that the model possesses a unique positive equilibrium point are suggested. AMS Subject Classification: 34A12, 34C11","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"3 1","pages":"747"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ANALYSIS OF PLANT-SOIL MODELS WITH VARIOUS FUNCTIONAL NITROGEN UPTAKE KINETICS\",\"authors\":\"Jeongwook Chang, Seong-a Shim\",\"doi\":\"10.12732/ijam.v32i5.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper analyzes the Plant-Soil Models with functional nitrogen uptake kinetics. In this work we focus on the effects of using different forms of nitrogen uptake kinetic function for the dynamics of Plant-Soil model including Holling type II and III. We present the derivations of these two different type of functional kinetics for the general enzyme-substrate reaction process. For the Plant-Soil Model the local existence and positive invariance of the solution are investigated. Also some conditions to guarantee that the model possesses a unique positive equilibrium point are suggested. AMS Subject Classification: 34A12, 34C11\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"3 1\",\"pages\":\"747\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v32i5.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v32i5.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ANALYSIS OF PLANT-SOIL MODELS WITH VARIOUS FUNCTIONAL NITROGEN UPTAKE KINETICS
This paper analyzes the Plant-Soil Models with functional nitrogen uptake kinetics. In this work we focus on the effects of using different forms of nitrogen uptake kinetic function for the dynamics of Plant-Soil model including Holling type II and III. We present the derivations of these two different type of functional kinetics for the general enzyme-substrate reaction process. For the Plant-Soil Model the local existence and positive invariance of the solution are investigated. Also some conditions to guarantee that the model possesses a unique positive equilibrium point are suggested. AMS Subject Classification: 34A12, 34C11
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