CROSS AND SELF-DIFFUSION MATHEMATICAL MODEL WITH NONLINEAR
FUNCTIONAL RESPONSE FOR PLANKTON DYNAMICS,
Lien de l'article:
http://journal.fairpartners.ro
Auteur(s):
HAMIDOU OUEDRAOGO, BOUREIMA SANGARE AND WENDKOUNI OUEDRAOGO
Auteur(s) tagués:
Hamidou OUEDRAOGO ;
Résumé
The aim of this paper is to show with a functional Beddington-DeAngelis response, that cross-diffusion plays an important role in the phenomenon of toxin-productionphytoplankton (TPP) in the dynamics of zooplankton and phytoplankton system. The
demonstration tools are mainly based on the theory of fixed point indices and analytical techniques. Two-dimensional numerical simulations have established the formation
of spatial patterns and a release threshold of the toxin, above which we talk about the
phytoplankton proliferation
Mots-clés
Toxin effect; reaction-diffusion system; index theory; pattern formation