Related Dynamic Analysis of a Nutrient-Phytoplankton Dynamic System under State Impulsive Feedback Control

Abstract

On the basis of state impulsive feedback control theory and nonlinear dynamic system theory, the Michaelis-Menten functional response function is introduced to describe the interaction mechanism of phytoplankton and nutrients in the process of dynamic modeling; a nutrient-phytoplankton dynamic system under state impulsive feedback control has been structured. Some qualitative analysis of the dynamic system has been investigated to establish some theoretical criterions for the existence, uniqueness and asymptotic stability of the order-1 periodic solution. The research work can provide a theoretical support for the comprehensive study of the application of state impulsive feedback control theory to the prevention and control of eutrophication in water body.