枯竭林业资源保护的数学模型

IF 1.8 4区环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES

Natural Resource Modeling Pub Date : 2022-01-14 DOI:10.1111/nrm.12338

Masitawal Demsie Goshu, M. Endalew

{"title":"枯竭林业资源保护的数学模型","authors":"Masitawal Demsie Goshu, M. Endalew","doi":"10.1111/nrm.12338","DOIUrl":null,"url":null,"abstract":"In this article, a nonlinear mathematical model is constructed to investigate the conservation of depleted forest resources due to the increase of population and associated pressures. Fundamental equations governing the dynamics of the system are defined by the set of highly nonlinear ordinary differential equations and solved numerically. The model is analyzed by using the nature of stability analysis theory of dynamical system. The numerical solutions and simulations of the system are carried out using ODE45 subroutine of MATLAB. Presentations of results are revealed using graphs and interpreted biologically. It is noted that the increase of population density and associated pressures causes the depletion of forestry resources. However, forest resources can be conserved by controlling man made fire, toxicant activities, applying economical incentives and technological efforts.","PeriodicalId":49778,"journal":{"name":"Natural Resource Modeling","volume":" ","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Mathematical modeling on conservation of depleted forestry resources\",\"authors\":\"Masitawal Demsie Goshu, M. Endalew\",\"doi\":\"10.1111/nrm.12338\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, a nonlinear mathematical model is constructed to investigate the conservation of depleted forest resources due to the increase of population and associated pressures. Fundamental equations governing the dynamics of the system are defined by the set of highly nonlinear ordinary differential equations and solved numerically. The model is analyzed by using the nature of stability analysis theory of dynamical system. The numerical solutions and simulations of the system are carried out using ODE45 subroutine of MATLAB. Presentations of results are revealed using graphs and interpreted biologically. It is noted that the increase of population density and associated pressures causes the depletion of forestry resources. However, forest resources can be conserved by controlling man made fire, toxicant activities, applying economical incentives and technological efforts.\",\"PeriodicalId\":49778,\"journal\":{\"name\":\"Natural Resource Modeling\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2022-01-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Natural Resource Modeling\",\"FirstCategoryId\":\"93\",\"ListUrlMain\":\"https://doi.org/10.1111/nrm.12338\",\"RegionNum\":4,\"RegionCategory\":\"环境科学与生态学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENVIRONMENTAL SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Natural Resource Modeling","FirstCategoryId":"93","ListUrlMain":"https://doi.org/10.1111/nrm.12338","RegionNum":4,"RegionCategory":"环境科学与生态学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENVIRONMENTAL SCIENCES","Score":null,"Total":0}

引用次数: 4

摘要

本文建立了一个非线性数学模型，探讨了人口增长和相关压力对枯竭森林资源保护的影响。控制系统动力学的基本方程由一组高度非线性常微分方程定义并进行数值求解。利用动力系统稳定性分析理论的性质对模型进行了分析。利用MATLAB的ODE45子程序对系统进行了数值求解和仿真。结果的展示用图表显示，并进行生物学解释。人们注意到，人口密度的增加和有关的压力造成了森林资源的枯竭。但是，森林资源可以通过控制人为火灾、有毒活动、采用经济奖励和技术努力来保护。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Mathematical modeling on conservation of depleted forestry resources

In this article, a nonlinear mathematical model is constructed to investigate the conservation of depleted forest resources due to the increase of population and associated pressures. Fundamental equations governing the dynamics of the system are defined by the set of highly nonlinear ordinary differential equations and solved numerically. The model is analyzed by using the nature of stability analysis theory of dynamical system. The numerical solutions and simulations of the system are carried out using ODE45 subroutine of MATLAB. Presentations of results are revealed using graphs and interpreted biologically. It is noted that the increase of population density and associated pressures causes the depletion of forestry resources. However, forest resources can be conserved by controlling man made fire, toxicant activities, applying economical incentives and technological efforts.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Natural Resource Modeling 环境科学-环境科学

CiteScore

3.50

自引率

6.20%

发文量

审稿时长

>36 weeks

期刊介绍： Natural Resource Modeling is an international journal devoted to mathematical modeling of natural resource systems. It reflects the conceptual and methodological core that is common to model building throughout disciplines including such fields as forestry, fisheries, economics and ecology. This core draws upon the analytical and methodological apparatus of mathematics, statistics, and scientific computing.