Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment
Applicationes Mathematicae, Tome 38 (2011) no. 1, pp. 67-84
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
DOI :
10.4064/am38-1-5
Keywords:
consider model proposed dawidowicz zalasi ski describing interactions between heterotrophic autotrophic organisms coexisting terrestrial environment available oxygen modify model assuming intraspecific competition between heterotrophic organisms moreover introduce diffusion types organisms oxygen basic properties extended model examined illustrated numerical simulations
Affiliations des auteurs :
Piotr Paweł Szopa 1 ; Monika Joanna Piotrowska 2
@article{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},
pages = {67--84},
year = {2011},
volume = {38},
number = {1},
doi = {10.4064/am38-1-5},
zbl = {1221.92082},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am38-1-5/}
}
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 SP - 67 EP - 84 VL - 38 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/am38-1-5/ DO - 10.4064/am38-1-5 LA - en ID - 10_4064_am38_1_5 ER -
%0 Journal Article %A Piotr Paweł Szopa %A Monika Joanna Piotrowska %T Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment %J Applicationes Mathematicae %D 2011 %P 67-84 %V 38 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/am38-1-5/ %R 10.4064/am38-1-5 %G en %F 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) no. 1, pp. 67-84. doi: 10.4064/am38-1-5
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