Turing Instability Analysis of Marine Planktonic Ecosystem Under the Influence of Spatial Heterogeneity

Due to the inhomogeneity of species distribution in natural world, we consider the Turing instability of phytoplankton-zooplankton marine ecosystems containing diffusion and Neumann boundary conditions in this paper. By means of Routh-Hurwitz criterion, the stability conditions of positive equilibrium of system without reaction-diffusion terms are obtained. The Turing instability conditions are derived and patterns formations of the interior equilibrium are determined through utilizing the theory of partial functional differential equations. Finally, numerical simulation results are provided to validate the theoretical analysis.