%0 Journal Article
%T A nonautonomous model for the interaction between a size-structured consumer and an unstructured resource.
%A Ni Z
%A Huang Q
%J J Math Biol
%V 88
%N 5
%D 2024 Mar 28
%M 38546744
%F 2.164
%R 10.1007/s00285-024-02071-2
%X 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.