新的自适应控制方法,以分数分数顺序的森林砍伐模型及其对土壤侵蚀的影响
P Priya1, A Sabarmathi1, Ali Akgül2,3
1PG and Research Department of Mathematics, Auxilium College (Autonomous), Vellore-6, Affiliated to Thiruvalluvar University, Serkadu, Vellore-115, Tamil Nadu, India.
Scientific reports
|November 14, 2024
概括
森林砍伐严重降低了土壤质量和生物多样性,造成经济损失. 这项研究引入了一种新的碎形分数模型来分析和控制森林砍伐造成的土壤污染,提供了一个独特的解决方案.
科学领域:
- 环境科学 环境科学
- 土壤科学 土壤科学
- 数学建模的数学建模
背景情况:
- 森林砍伐导致严重的土壤退化,影响有机物和结构.
- 森林砍伐造成的土壤污染对经济产生了重大影响.
- 了解土壤污染动态对于环境管理至关重要.
研究的目的:
- 开发和分析由森林砍伐引起的土壤污染的数学模型.
- 调查土壤污染动态解决方案的存在,独特性和稳定性.
- 提出适应性控制战略,以减轻土壤污染.
主要方法:
- 开发了一种五部分的土壤退化和透分数 (SDIFR) 模型,集成分数维度和分数顺序动态.
- 皮卡德·林德洛夫 (Picard Lindelof) 的固定点定理被应用来确定解决方案的存在和独特性.
- 采用碎形分数顺序和Adams-Bashforth数值方案的自适应控制框架被实施.
主要成果:
- 该研究证实了土壤污染模型的明确解决方案的存在和独特性.
- 分析显示了不同的无污染和污染灭绝的平衡状态.
- 数字模拟突出了模型参数对土壤污染动态的关键影响.
结论:
- 拟议的SDIFR模型为了解森林砍伐引起的土壤污染提供了一个全面的框架.
- 适应性控制策略提供了一种可行的方法来调节和减轻土壤污染.
- 这项研究强调了参数分析在森林砍伐后管理土壤质量的重要性.
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