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| In this talk, I will report our recent research on dynamical analysis of a diffusive phytoplankton-zooplankton model with nonlinear harvesting and subject to homogeneous Neumann boundary conditions. We discuss the problem of non-constant positive steady state solution's existence, which can identify the ranges of parameters of spatial pattern formation. For the positive constant steady-state solution, stability, Hopf and steady-state bifurcation analysis are considered in detail.
Moreover, we investigate whether the appearance of harvesting and the diffusion can lead to the appearance of some codimension two bifurcations, such as Bagdanov-Takens bifurcation, which can not occur in corresponding local system (ODEs). These results show that the impact of harvesting essentially increases the system spatiotemporal complexity. |
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