具治理的污染水体中鱼种群的动力学行为研究
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摘要
首先建立了富营养化水体中鱼类种群的二维生长模型,分析了其动力学行为。其次考虑到微生物降解可用于治理富营养化水体,进而引入微生物降解作用建立了一个三维模型,并讨论其动力学行为。通过比较两个模型的动力学行为,结果显示在微生物降解作用存在时,鱼种群量增加而造成水体富营养化的氮磷等的量减少,这从数学理论上支持了微生物降解在治理水体污染方面的作用。
In this paper,a two-dimensional growth model of fish population in eutrophic water bodies is established. Secondly,considering the microbial degradation can be used to control eutrophication of water bodies,the microbial degradation effect is introduced to established a three-dimensional model,and its dynamic behavior are discussed. Comparing the dynamic behavior of the two models,the results show that in the presence of microbial degradation the fish population increase,and the amount of nitrogen and phosphorus which cause eutrophication of water bodies decrease. This supports the function of microbial degradation in the governance of water pollution from mathematical theory.
In this paper,a two-dimensional growth model of fish population in eutrophic water bodies is established. Secondly,considering the microbial degradation can be used to control eutrophication of water bodies,the microbial degradation effect is introduced to established a three-dimensional model,and its dynamic behavior are discussed. Comparing the dynamic behavior of the two models,the results show that in the presence of microbial degradation the fish population increase,and the amount of nitrogen and phosphorus which cause eutrophication of water bodies decrease. This supports the function of microbial degradation in the governance of water pollution from mathematical theory.
引文
[1]郭培章,宋群.中外水体富营养化治理案例研究[M].北京:中国计划出版社,2003.
[2]Ansari A A,Gill S S,Khan F A.Eutrophication:threat to aqua-ticecosystems[M].Berlin(Germany):Springer,2011:143-170.
[3]任南琪.污染控制微生物学[M].哈尔滨:哈尔滨工业大学出版社,2002.
[4]魏瑞霞,武会强,张锦瑞,等.植物浮床——微生物对污染水的修复作用[J].生态环境学报,2009,18(1):68-74.
[5]Huang L D,Du S T,Fa N L,et al.Microbial activity facilitates phosphorusadsorption to shallow lake sediment[J].Journal of Soils and Sediments,2011,11(1):185-193.
[6]Serhani M,Gouze J L,Raissi N.Dynamical study and robustness for a nonlinear wastewater treatment model[J],Nonlinear Analysis.Real World Applications,2011,12(1):487-500.
[7]Shukla J B,Misra A K,Chandra P.Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants[J].Nonlinear Analysis:Real World Applications,2008(5):1851-1865.
[8]Misra A K,Chandra P,and Shukla J B.Mathematica-lmodeling and analysis of the depletion of dissolved oxygen in water bodies[J],Nonlinear Analysis.Real World Applications,2006,7(5):980-996.
[9]Goyal A,Sanghi R,Misra A K,et al.Modelingand analysis of the removal of an organic pollutant from awater body using fungi[J],Applied Mathematical Modelling,2014,38(19/20):4863-4871.
[10]Zhao Z,Pang L Y,Zhao Z P,et al.Impulsive State Feedback Control of theRhizosphere Microbial Degradation in the Wetland Plant[J],Discrete Dynamics in Nature and Society,2015.
[2]Ansari A A,Gill S S,Khan F A.Eutrophication:threat to aqua-ticecosystems[M].Berlin(Germany):Springer,2011:143-170.
[3]任南琪.污染控制微生物学[M].哈尔滨:哈尔滨工业大学出版社,2002.
[4]魏瑞霞,武会强,张锦瑞,等.植物浮床——微生物对污染水的修复作用[J].生态环境学报,2009,18(1):68-74.
[5]Huang L D,Du S T,Fa N L,et al.Microbial activity facilitates phosphorusadsorption to shallow lake sediment[J].Journal of Soils and Sediments,2011,11(1):185-193.
[6]Serhani M,Gouze J L,Raissi N.Dynamical study and robustness for a nonlinear wastewater treatment model[J],Nonlinear Analysis.Real World Applications,2011,12(1):487-500.
[7]Shukla J B,Misra A K,Chandra P.Mathematical modeling and analysis of the depletion of dissolved oxygen in eutrophied water bodies affected by organic pollutants[J].Nonlinear Analysis:Real World Applications,2008(5):1851-1865.
[8]Misra A K,Chandra P,and Shukla J B.Mathematica-lmodeling and analysis of the depletion of dissolved oxygen in water bodies[J],Nonlinear Analysis.Real World Applications,2006,7(5):980-996.
[9]Goyal A,Sanghi R,Misra A K,et al.Modelingand analysis of the removal of an organic pollutant from awater body using fungi[J],Applied Mathematical Modelling,2014,38(19/20):4863-4871.
[10]Zhao Z,Pang L Y,Zhao Z P,et al.Impulsive State Feedback Control of theRhizosphere Microbial Degradation in the Wetland Plant[J],Discrete Dynamics in Nature and Society,2015.