A STOICHIOMETRICALLY DERIVED ALGAL GROWTH MODEL AND ITS GLOBAL ANALYSIS

被引:18
|
作者
Li, Xiong [1 ]
Wang, Hao [2 ]
机构
[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Stoichiometry; algae; phosphorus; carbon; nutrient; light; cell quota; global stability; NUTRIENT LIMITATION; MIXING DEPTHS; PHYTOPLANKTON; DYNAMICS; LIGHT; COMPETITION; GRADIENT;
D O I
10.3934/mbe.2010.7.825
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Organisms are composed of multiple chemical elements such as carbon, nitrogen, and phosphorus. The scarcity of any of these elements can severely restrict organismal and population growth. However, many trophic interaction models only consider carbon limitation via energy flow. In this paper, we construct an algal growth model with the explicit incorporation of light and nutrient availability to characterize both carbon and phosphorus limitations. We provide a global analysis of this model to illustrate how light and nutrient availability regulate algal dynamics.
引用
收藏
页码:825 / 836
页数:12
相关论文
共 50 条
  • [21] An integrated growth kinetics and computational fluid dynamics model for the analysis of algal productivity in open raceway ponds
    Amini, Hossein
    Wang, Lijun
    Hashemisohi, Abolhasan
    Shahbazi, Abolghasem
    Bikdash, Marwan
    Dukka, K. C.
    Yuan, Wenqiao
    [J]. COMPUTERS AND ELECTRONICS IN AGRICULTURE, 2018, 145 : 363 - 372
  • [22] An analysis of MODIS-derived algal and mineral turbidity in Lake Erie
    Binding, C. E.
    Greenberg, T. A.
    Bukata, R. P.
    [J]. JOURNAL OF GREAT LAKES RESEARCH, 2012, 38 (01) : 107 - 116
  • [23] Analysis of a stochastic model for algal bloom with nutrient recycling
    Ji, Xuehui
    Yuan, Sanling
    Zhu, Huaiping
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2016, 9 (06)
  • [24] A global analysis of soil moisture derived from satellite observations and a land surface model
    Rebel, K. T.
    de Jeu, R. A. M.
    Ciais, P.
    Viovy, N.
    Piao, S. L.
    Kiely, G.
    Dolman, A. J.
    [J]. HYDROLOGY AND EARTH SYSTEM SCIENCES, 2012, 16 (03) : 833 - 847
  • [25] Image analysis - a simple method of algal culture growth assessment
    Hauer, Tomas
    Jirka, Lukas
    [J]. JOURNAL OF APPLIED PHYCOLOGY, 2007, 19 (05) : 599 - 601
  • [26] Image analysis - a simple method of algal culture growth assessment
    Tomáš Hauer
    Lukáš Jirka
    [J]. Journal of Applied Phycology, 2007, 19 : 599 - 601
  • [27] Global Sensitivity Analysis of a Homogenized Constrained Mixture Model of Arterial Growth and Remodeling
    Sebastian Brandstaeter
    Sebastian L. Fuchs
    Jonas Biehler
    Roland C. Aydin
    Wolfgang A. Wall
    Christian J. Cyron
    [J]. Journal of Elasticity, 2021, 145 : 191 - 221
  • [28] GLOBAL SENSITIVITY ANALYSIS OF CROP GROWTH SUCROS MODEL APPLIED TO HUSK TOMATO
    Lopez-Cruz, Irineo L.
    Rojano-Aguilar, Abraham
    Salazar-Moreno, Raquel
    Lopez-Lopez, Rutilo
    [J]. REVISTA FITOTECNIA MEXICANA, 2014, 37 (03) : 279 - 288
  • [29] Global analysis and indeterminacy in a two-sector growth model with human capital
    Antoci, Angelo
    Galeotti, Marcello
    Russu, Paolo
    [J]. INTERNATIONAL JOURNAL OF ECONOMIC THEORY, 2014, 10 (04) : 313 - 338
  • [30] GLOBAL ANALYSIS OF HEPATITIS B AND C VIRUS MODEL WITH LOGISTIC HEPATOCYTE GROWTH
    Yiqun LiJianquan LiHongmei Bi Deptof Applied Mathand PhysicsAir Force Engineering UniversityXian
    [J]. Annals of Differential Equations., 2012, 28 (03) - 312