Abstract：
In this paper, we propose and analyze a nonautonomous model that describes the dynamics of a size-structured consumer interacting with an unstructured resource. We prove the existence and uniqueness of the solution of the model using the monotone method based on a comparison principle. We derive conditions on the model parameters that result in persistence and extinction of the population via the upper-lower solution technique. We verify and complement the theoretical results through numerical simulations.
摘要：
在本文中,我们提出并分析了一个非自治模型，该模型描述了规模结构化消费者与非结构化资源交互的动态。我们基于比较原理，使用单调方法证明了模型解的存在性和唯一性。我们通过上下解技术得出模型参数的条件，这些条件会导致种群的持久性和灭绝。我们通过数值模拟对理论结果进行了验证和补充。
