@Article{JPDE-32-3,
author = {Wendkouni, Ouedraogo and Ouedraogo, Hamidou and Wendkouni, Ouedraogo and Sangaré, Boureima and Sangaré, Boureima},
title = {Bifurcation and Stability Analysis in Complex Cross-Diffusion Mathematical Model of Phytoplankton-Fish Dynamics},
journal = {Journal of Partial Differential Equations},
year = {2019},
volume = {32},
number = {3},
pages = {207--228},
abstract = {<p>In this paper, we propose a nonlinear reaction-diffusion system describing
the interaction between toxin-producing phytoplankton and fish population. We analyze the effect of cross-diffusion on the dynamics of the system. The mathematical
study of the model leads us to have an idea on the existence of a solution, the existence
of equilibria and the stability of the stationary equilibria. Finally, numerical simulations performed at two-dimensions allowed us to establish the formation of spatial
patterns and a threshold of release of the toxin, above which we talk about the
phytoplankton blooms.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v32.n3.2},
url = {https://global-sci.com/article/88185/bifurcation-and-stability-analysis-in-complex-cross-diffusion-mathematical-model-of-phytoplankton-fish-dynamics}
}