Geodesic
Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment
Piotr Paweł Szopa1 ; Monika Joanna Piotrowska2
1 Institute of Applied Mathematics and Mechanics Faculty of Mathematics, Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland
2 Institute of Applied Mathematics and Mechanics Faculty of Mathematics, Informatics and Mechanics University of Warszawa Banacha 2 02-097 Warszawa, Poland
Applicationes Mathematicae, Tome 38 (2011) no. 1, pp. 67-84.

Voir la notice de l'article provenant de 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

Piotr Paweł Szopa 1 ; Monika Joanna Piotrowska 2

1 Institute of Applied Mathematics and Mechanics Faculty of Mathematics, Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland
2 Institute of Applied Mathematics and Mechanics Faculty of Mathematics, Informatics and Mechanics University of Warszawa Banacha 2 02-097 Warszawa, Poland 
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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. http://geodesic.mathdoc.fr/articles/10.4064/am38-1-5/

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