Feedback control for singularity induced bifurcation of a differential-algebraic biological economic system

摘要

This paper studies a differential-algebraic economic prey-predator system with non-selective harvesting effort. Local stability analysis of the system reveals that there is a phenomenon of singularity induced bifurcation due to variation of the economic interest of harvesting, and a state feedback controller is designed to stabilize the proposed system at the interior equilibrium. Finally, numerical simulations are performed for justifying the theoretical results.