In this paper, a new consumer-resource competition model with a state-dependent maturity delay is developed, which incorporates one resource species and two stage-structured consumer species. The main innovation is that the model directly manifests the relationship between resources and maturity time of consumers through a correction term, $1-\tau'(x(t))x'(t)$. Firstly, the well-posedness of the solution is studied. At the same time, the existence and uniqueness of all equilibria are discussed. Then, the linearized stabilities of the equilibria are achieved. Finally, some sufficient conditions which ensure the global attractivity of the coexistence equilibrium are obtained.

中文翻译：

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具有状态依赖的时滞和阶段结构的消费者物种的消费者资源竞争模型

本文提出了一种新的具有状态依赖期限的消费者资源竞争模型，该模型包含一个资源物种和两个阶段结构的消费者物种。主要的创新之处在于该模型通过校正项$ 1- \ tau'（x（t））x'（t）$直接显示了资源与消费者成熟时间之间的关系。首先，研究了该解的适定性。同时，讨论了所有均衡的存在性和唯一性。然后，实现了平衡的线性化稳定性。最后，获得了确保共存平衡的全局吸引性的一些充分条件。