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水体富营养化状态脉冲控制系统周期解的存在性和唯一性

Existence and Uniqueness of Periodic Solution of a State-dependent Impulsive Control System on Water Eutrophication
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摘要 本文基于藻类治理问题,建立了一个具有状态依赖脉冲和Holling I型功能性反应函数的藻类治理模型,利用常微分方程的定性理论和Lambert W函数以及Poincare映射的性质研究了系统阶1周期解的存在性和唯一性.最后,通过数值模拟对文中主要结论进行了验证. In this paper, a state-dependent impulsive model is proposed for the algae control, which involves state-dependent impulse and Holling type I funetional response function. We investigate the existence and uniqueness of order 1 periodic solution of the system by using the qualitative theory of ordinary differential equation and the properties of the Lambert W flmction and Poincare map. Finally, numerical simulations are carried out to illustrate the theoretical results.
出处 《应用数学学报》 CSCD 北大核心 2016年第1期138-152,共15页 Acta Mathematicae Applicatae Sinica
基金 山西省自然科学基金(2013011002-2)资助项目
关键词 状态依赖脉冲 Lambert W函数 POINCARE映射 阶1周期解 state-dependent impulse Lambert W function poincare map order 1 periodic solution
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  • 1马经安,李红清.浅谈国内外江河湖库水体富营养化状况[J].长江流域资源与环境,2002,11(6):575-578. 被引量:154
  • 2Albay M, Akcaalan R, Tufekci H, Metealf J S, Beattie K A, Codd G A. Depth profile of cyanobacterial hepatotoxins (microcystins) in three Turkish freshwater lakes. Hydrobiologia, 2003, 505(1-3): 89- 95.
  • 3Alonso A C, Garcia V L, Lopez R V, Costas E. Catastrophic mortality of flamingos in a Spanish national park caused by cyanobacteria. Veterinary Record , 2002, 151(23): 706-707.
  • 4Qin ]3 Q. Lake eutrophication: control countermeasures and recycling exploitation. Ecological Engi- neering, 2009, 35(11): 1569-1573.
  • 5Torres M A, Barros M P, Campos S C G, Pinto E, Rajamani S, Sayre R T, Colepicolo P. Biochemical biomarkers in algae and marine pollution: a review. Ecotoxicology and Environmental, 2008, 71:1-15.
  • 6Marmor L , Degtjarenko P. Trentepohlia umbrina on Scots pine as a bioindicator of alkaline dust pollution. Ecological Indicators, 2014, 45:717-720.
  • 7孙刚,盛连喜.湖泊富营养化治理的生态工程[J].应用生态学报,2001,12(4):590-592. 被引量:96
  • 8Kouzminov A, Ruck J, Wood S A. New Zealand risk management approach for toxic cyanobacteria in drinking water. Aust. N.Z.J.Public. Health., 2007, 31(3): 275-281.
  • 9Magellan K, Barral-Fraga L, Rovira M, Srean P, Urrea G, Garcfa-Berthou E, Guasch H. Behavioural and physical effects of arsenic exposure in fish are aggravated by aquatic algae. Aquatic Toxicology, 2014, 156:116-124.
  • 10Zhao Z G, Dong S L, Wang F, Tian X L, Gao Q F. Effect of algae density on breathing and feeding of filter-feeding silver carp (Hypophthalmichthys molitrix Val.). Aquaculture, 2014, 433:133-136.

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