Models of interactions between heterotrophic and autotrophic organisms

Volume 36 / 2009

Urszula Foryś, Zuzanna Szymańska Applicationes Mathematicae 36 (2009), 279-294 MSC: 34C60, 34D05, 34D23, 92D40. DOI: 10.4064/am36-3-3


We present two simple models describing relations between heterotrophic and autotrophic organisms in the land and water environments. The models are based on the Dawidowicz & Zalasiński models but we assume the boundedness of the oxygen resources. We perform a basic mathematical analysis of the models. The results of the analysis are complemented by numerical illustrations.


  • Urszula ForyśInstitute of Applied Mathematics and Mechanics
    Faculty of Mathematics, Informatics and Mechanics
    University of Warsaw
    Banacha 2
    02-097 Warszawa, Poland
  • Zuzanna SzymańskaICM
    University of Warsaw
    Pawińskiego 5a
    02-106 Warszawa, Poland

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