Dynamical analysis of an aquaculture management model with stage structure, intraspecific cooperation, refuge effect, and nonlinearly impulsive releasing

In this paper, we propose an aquaculture management model with stage structure, intraspecific cooperation, refuge effect, and nonlinearly impulsive releasing. The global asymptotic stability of the periodic solution for the subsystem of the system was analyzed via the Jury criterion and the Banach contraction mapping principle. Additionally, through the theory of impulsive differential equations, the conditions for the global asymptotic stability of the prey-vanishing periodic solution and for the permanence of the system were acquired. Finally, numerical simulations were utilized to validate the theoretical results. In addition, key parameters affecting the persistence condition $B_0$ were identified via comparative and sensitivity analysis. Moreover, abundant dynamical behaviors such as period bifurcation and chaos were identified through bifurcation diagrams.