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<article xsi:noNamespaceSchemaLocation="http://jats.nlm.nih.gov/publishing/1.1/xsd/JATS-journalpublishing1-mathml3.xsd" dtd-version="1.1" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"><front><journal-meta><journal-id journal-id-type="publisher-id">EAE</journal-id><journal-title-group><journal-title>Environment and Ecology</journal-title></journal-title-group><issn>2998-9094</issn><eissn>2998-9108</eissn><publisher><publisher-name>Art and Technology</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.61369/EAE.2026020012</article-id><article-categories><subj-group subj-group-type="heading"><subject>Article</subject></subj-group></article-categories><title>基于补播控制策略的随机植被
—— 水系统的指数稳定性研究</title><url>https://artdesignp.com/journal/EAE/3/2/10.61369/EAE.2026020012</url><author>戴晓娟</author><pub-date pub-type="publication-year"><year>2026</year></pub-date><volume>3</volume><issue>2</issue><history><date date-type="pub"><published-time>2026-04-20</published-time></date></history><abstract>本文引入补播控制策略的随机植被-水系统，深入探究其指数稳定性.借助随机分析理论，结合Burkholder-Davis-Gundy不等式，对系统随机能量等式中的系数函数展开估计，进而得出指数稳定性和几乎必然指数稳定性的充分条件.以宁夏干旱半干旱地区植被为例构建具体模型并进行数值模拟，验证了所得理论结果的有效性.研究表明，合理的补播控制策略能够显著提升随机植被-水系统的稳定性，为该地区的生态修复与可持续发展提供了理论支持。</abstract><keywords>随机植被- 水系统,指数稳定性,几乎必然指数稳定性,Burkholder-Davis-Gundy 不等式,Chebyshev 不等式,宁夏干旱半干旱地区</keywords></article-meta></front><body/><back><ref-list><ref id="B1" content-type="article"><label>1</label><element-citation publication-type="journal"><p>[1] 傅伯杰，于秀波，吕一河. 生态系统服务与生态安全 [J]. 科学通报，2019, 64 (3):221-234.[2] Wang G, Liu J, Li X. Vegetation-water coupling mechanisms in arid ecosystems[J]. Journal of Arid Environments, 2020, 178:104256.[3] 宁夏回族自治区气象局. 宁夏气候公报 (2022)[R]. 2023.[4] 李新荣，张景光，王新平. 荒漠生态系统稳定性机制研究进展 [J]. 生态学报，2018, 38 (12):4151-4160.[5] 盐池县自然资源局. 盐池县草原生态保护修复规划 (2021-2025)[Z]. 2021.[6] Sasaki Y, Lauenroth W K. Plant species diversity enhances ecosystem reliability[J]. Proceedings of the National Academy of Sciences, 2011, 108(29):11770-11775.[7] 董世魁，蒲小鹏，胡自治. 高寒草甸退化草地恢复改良技术研究进展 [J]. 草业学报，2005, 14 (6):1-9.[8] 王刚，陈亚宁，李卫红. 塔里木河下游植被- 水分关系模型及稳定性分析 [J]. 生态学报，2010, 30 (15):4067-4075.[9] Laio F, Porporato A, Rodriguez-Iturbe I. Plants in water-controlled ecosystems: active role in hydrologic processes and response to water stress[J]. Advances in Water Resources, 2001, 24(7-8):707-723.[10] Zhang L, Dawes W R, Walker G R. Response of mean annual evapotranspiration to vegetation changes at catchment scale[J]. Water Resources Research, 2001, 37(3):701-708.[11] Mao X. Stochastic Differential Equations and Applications[M]. 2nd ed. Horwood Publishing, 2007.[12] Khasminskii R Z. Stochastic Stability of Differential Equations[M]. 2nd ed. Springer Science &amp;amp; Business Media, 2012.[13] Arnold L. Random Dynamical Systems[M]. Springer Science &amp;amp; Business Media, 2003.[14] Tilman D, Reich P B, Knops J M. Biodiversity and ecosystem stability in a decade-long grassland experiment[J]. Nature, 2006, 441(7093):629-632.[15] Huang J, et al. Effects of reseeding on soil properties and vegetation restoration in degraded alpine grasslands[J]. Catena, 2020, 191:104594.[16] Gunderson L H, Holling C S. Panarchy: Understanding Transformations in Human and Natural Systems[M]. Island Press, 2002.[17] 宁夏农业农村厅. 宁夏草原补播技术规范 (DB64/T 1754-2021)[S]. 2021.[18] 郑元润，董学军，阿拉腾宝. 沙蒿种群在不同生境下的空间分布格局 [J]. 植物生态学报，2000, 24 (4):419-424.[19] 赵哈林，张铜会，赵学勇. 科尔沁沙地植被退化对土壤水分的影响 [J]. 生态学报，2002, 22 (11):1916-1922.[20] 王根绪，程国栋，沈永平. 干旱区流域尺度生态水文过程变化及其管理 [J]. 水科学进展，2002, 13 (1):111-118.[21] 白永飞，李凌浩，黄建辉. 内蒙古草原植物功能群组成对生态系统功能的影响 [J]. 植物生态学报，2004, 28 (1):116-122.[22] 苏永中，赵哈林，张铜会. 干旱半干旱地区植被生产力与土壤水分的关系 [J]. 生态学报，2003, 23 (7):1293-1301.</p><pub-id pub-id-type="doi"/></element-citation></ref></ref-list></back></article>
