Hybrid Control Synthesis for Turing Instability and Hopf Bifurcation of Marine Planktonic Ecosystems With Diffusion

Great progress has been made in bifurcation control of systems described by ordinary differential equations. However, the Hopf and Turing patterns is seldom reported reaction-diffusion systems, which formed partial In this paper, a hybrid synthesis combining state feedback firstly devised marine planktonic ecosystem. The instability condition criterion are derived through carrying out eigenvalue analysis controlled system. numerical simulations show that strategy can not only suppress formation patterns, but also delay or advance point. Therefore, desired spatial dynamics behaviors be generated manipulate gain parameters, so as to achieve purpose maintaining ecological balance.