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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-5,
author = {Piotr Pawe\l\ Szopa and Monika Joanna Piotrowska},
title = {Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment},
journal = {Applicationes Mathematicae},
volume = {38},
year = {2011},
pages = {67-84},
zbl = {1221.92082},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-5}
}
Piotr Paweł Szopa; Monika Joanna Piotrowska. Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment. Applicationes Mathematicae, Tome 38 (2011) pp. 67-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-1-5/