On a mathematical model arising from competition of Phytoplankton species for a single nutrient with internal storage: steady state analysis | Zendy

SzeBi Hsu | Zendy; FengBin Wang | Zendy

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On a mathematical model arising from competition of Phytoplankton species for a single nutrient with internal storage: steady state analysis

Author(s) -

SzeBi Hsu,

FengBin Wang

Publication year - 2011

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2011.10.1479

Subject(s) - chemostat , uniqueness , steady state (chemistry) , maximum principle , competition (biology) , population , population model , control theory (sociology) , mathematics , biological system , ecology , computer science , biology , mathematical optimization , optimal control , mathematical analysis , chemistry , control (management) , genetics , demography , artificial intelligence , sociology , bacteria

In this paper we construct a mathematical model of two microbial populations competing for a single-limited nutrient with internal storage in an unstirred chemostat. First we establish the existence and uniqueness of steady-state solutions for the single population. The conditions for the coexistence of steady states are determined. Techniques include the maximum principle, theory of bifurcation and degree theory in cones.

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