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.
“…The process of photosynthesis depends on a water balance, 2,13,14 and the accessibility of water and mineral salts dissolved in it 4,6,15 and on bioenergetic processes 1,5,16,17 (with references therein).…”
The paper deals with the description of the mathematical model of photosynthesis process in two interacting (peripheral and shaded) leaves. The bioenergetic phenomena is described by six equations for surfaces, thicknesses, and levels of substrates of photosynthesis contents in two types of leaves. The well‐posedness of the problem and the uniqueness of its solution are proved. Computer simulation and its comparison with empirical results are presented.
“…The process of photosynthesis depends on a water balance, 2,13,14 and the accessibility of water and mineral salts dissolved in it 4,6,15 and on bioenergetic processes 1,5,16,17 (with references therein).…”
The paper deals with the description of the mathematical model of photosynthesis process in two interacting (peripheral and shaded) leaves. The bioenergetic phenomena is described by six equations for surfaces, thicknesses, and levels of substrates of photosynthesis contents in two types of leaves. The well‐posedness of the problem and the uniqueness of its solution are proved. Computer simulation and its comparison with empirical results are presented.
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