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<p>In this paper, a stage-structured aquacultural model with nonlinear density-dependent impulsive releasing of prey larvae and harvesting of predators is proposed. By Jury criterion and Banach fixed point theorem, we analyzed the global properties for period solution of subsystem of system (2.7). Moreover, the conditions for the permanence of the system and the global asymptotic stability of predator-vanishing periodic solution are obtained. Then our theoretical results are verified with the aid of numerical simulation tools and several control strategies for the relevant parameters are explored by comparative analysis. Furthermore, some key parameters that are sensitive to the permanence conditions are identified by sensitive analysis. Finally, we observed rich dynamical behaviors such as period bifurcation and chaos by bifurcation diagrams.</p>

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Dynamics of a stage-structured aquacultural model with nonlinear density-dependent impulsive releasing of prey larvae and harvesting of predators

  • 期刊论文

  • 发表日期：

    2026年4月3日

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  • Die Li,
  • Jianjun Jiao,
  • Lin Wu,
  • Xueying Zhu

摘要

In this paper, a stage-structured aquacultural model with nonlinear density-dependent impulsive releasing of prey larvae and harvesting of predators is proposed. By Jury criterion and Banach fixed point theorem, we analyzed the global properties for period solution of subsystem of system (2.7). Moreover, the conditions for the permanence of the system and the global asymptotic stability of predator-vanishing periodic solution are obtained. Then our theoretical results are verified with the aid of numerical simulation tools and several control strategies for the relevant parameters are explored by comparative analysis. Furthermore, some key parameters that are sensitive to the permanence conditions are identified by sensitive analysis. Finally, we observed rich dynamical behaviors such as period bifurcation and chaos by bifurcation diagrams.