Chaotic behavior analysis and control of a toxin producing phytoplankton and zooplankton system based on linear feedback

Abstract

In this paper, we study the dynamic behavior and control of the fractional-order nutrient-phytoplankton-zooplankton system. First, we analyze the stability of the fractional-order nutrient-phytoplankton-zooplankton system and get the critical stable value of fractional order $\alpha$. Then, by applying the linear feedback control and Routh-Hurwitz criterion, we yield the sufficient conditions to stabilize the system to its equilibrium points. Finally, Under a modified fractional-order Adams-Bashforth-Monlton algorithm, we simulate the results respectively.