Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment

Piotr Paweł Szopa, and Monika Joanna Piotrowska. "Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment." Applicationes Mathematicae 38.1 (2011): 67-84. <http://eudml.org/doc/279967>.

@article{PiotrPawełSzopa2011,
abstract = {We consider the model, proposed by Dawidowicz and Zalasiński, describing the interactions between the heterotrophic and autotrophic organisms coexisting in a terrestrial environment with available oxygen. We modify this model by assuming intraspecific competition between heterotrophic organisms. Moreover, we introduce a diffusion of both types of organisms and oxygen. The basic properties of the extended model are examined and illustrated by numerical simulations.},
author = {Piotr Paweł Szopa, Monika Joanna Piotrowska},
journal = {Applicationes Mathematicae},
keywords = {stability; diffusion},
language = {eng},
number = {1},
pages = {67-84},
title = {Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment},
url = {http://eudml.org/doc/279967},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Piotr Paweł Szopa
AU - Monika Joanna Piotrowska
TI - Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 1
SP - 67
EP - 84
AB - We consider the model, proposed by Dawidowicz and Zalasiński, describing the interactions between the heterotrophic and autotrophic organisms coexisting in a terrestrial environment with available oxygen. We modify this model by assuming intraspecific competition between heterotrophic organisms. Moreover, we introduce a diffusion of both types of organisms and oxygen. The basic properties of the extended model are examined and illustrated by numerical simulations.
LA - eng
KW - stability; diffusion
UR - http://eudml.org/doc/279967
ER -