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
  • [41] An efficient computational method for global sensitivity analysis and its application to tree growth modelling
    Wu, Qiong-Li
    Cournede, Paul-Henry
    Mathieu, Amelie
    [J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2012, 107 : 35 - 43
  • [42] Immunohistochemical analysis of platelet-derived growth factor and its receptors in fibrohistiocytic tumors
    Taniuchi, K
    Yamada, Y
    Nonomura, A
    Takehara, K
    [J]. JOURNAL OF CUTANEOUS PATHOLOGY, 1997, 24 (07) : 393 - 397
  • [43] An analysis of satellite-derived chlorophyll and algal bloom indices on Lake Winnipeg
    Binding, C. E.
    Greenberg, T. A.
    McCullough, G.
    Watson, S. B.
    Page, E.
    [J]. JOURNAL OF GREAT LAKES RESEARCH, 2018, 44 (03) : 436 - 446
  • [44] Population Growth and its Implications for Global Security
    Walker, Robert J.
    [J]. AMERICAN JOURNAL OF ECONOMICS AND SOCIOLOGY, 2016, 75 (04) : 980 - 1004
  • [45] Growth Cultures: the global bioeconomy and its bioregions
    Birch, Kean
    [J]. JOURNAL OF ECONOMIC GEOGRAPHY, 2008, 8 (02) : 265 - 266
  • [46] Growth Cultures: The Global Economy and its Bioregions
    Rosiello, Alessandro
    [J]. URBAN STUDIES, 2009, 46 (07) : 1517 - +
  • [47] A full fuzzy generalized mathematical model of tumor growth and its analysis
    Rivaz, Azim
    Azizian, Mahdieh
    Kamyad, Ali Vahidian
    Zadeh, Somayeh Zangoei
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (06) : 6453 - 6460
  • [48] NOTE ON ANALYSIS OF MANOVA MODEL AND ITS APPLICATION TO GROWTH-CURVES
    TUBBS, JD
    LEWIS, TO
    DURAN, BS
    [J]. COMMUNICATIONS IN STATISTICS, 1975, 4 (07): : 643 - 653
  • [49] Global Sensitivity Analysis of Ventricular Myocyte Model-Derived Metrics for Proarrhythmic Risk Assessment
    Parikh, Jaimit
    Di Achille, Paolo
    Kozloski, James
    Gurev, Viatcheslav
    [J]. FRONTIERS IN PHARMACOLOGY, 2019, 10
  • [50] Bifurcation analysis of an algal blooms dynamical model in trophic interaction
    Wei, Qian
    Cai, Liming
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (04) : 3291 - 3330