Growth of heterotrophe and autotrophe populations in an isolated terrestrial environment
Volume 38 / 2011
Applicationes Mathematicae 38 (2011), 67-84
MSC: Primary 92D25; Secondary 35B35.
DOI: 10.4064/am38-1-5
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.
