Models of interactions between heterotrophic and autotrophic organisms

Urszula Foryś; Zuzanna Szymańska

Applicationes Mathematicae (2009)

  • Volume: 36, Issue: 3, page 279-294
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Urszula Foryś, and Zuzanna Szymańska. "Models of interactions between heterotrophic and autotrophic organisms." Applicationes Mathematicae 36.3 (2009): 279-294. <http://eudml.org/doc/279980>.

@article{UrszulaForyś2009,
abstract = {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.},
author = {Urszula Foryś, Zuzanna Szymańska},
journal = {Applicationes Mathematicae},
keywords = {heterotrophic organism; autotrophic organism; ODEs; steady state; global stability},
language = {eng},
number = {3},
pages = {279-294},
title = {Models of interactions between heterotrophic and autotrophic organisms},
url = {http://eudml.org/doc/279980},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Urszula Foryś
AU - Zuzanna Szymańska
TI - Models of interactions between heterotrophic and autotrophic organisms
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 3
SP - 279
EP - 294
AB - 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.
LA - eng
KW - heterotrophic organism; autotrophic organism; ODEs; steady state; global stability
UR - http://eudml.org/doc/279980
ER -

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