A new delayed predator–prey model with stage-structure and harvesting on prey and predator is proposed, where the stage-structure is modeled by the introduction of distributed time delay. The positivity, boundedness and the conditions for uniform persistence have been derived. We investigate the dynamical behavior of the system in terms of local stability of each feasible equilibria, global stability, and persistence. We find that the dynamics of the model depends largely on the harvesting efforts on the two species and the specific form of the birth and death functions.

中文翻译：

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具有分布式成熟延迟的收获阶段结构捕食者-猎物模型的动力学

提出了一种新的具有阶段结构和捕食猎物和捕食者的延迟捕食者-猎物模型，其中阶段结构是通过引入分布式时间延迟来建模的。推导了正性、有界性和均匀持久性的条件。我们根据每个可行均衡的局部稳定性、全局稳定性和持久性来研究系统的动力学行为。我们发现模型的动力学很大程度上取决于对两个物种的收获努力以及出生和死亡函数的具体形式。