J Math Biol. 2024 Mar 28;88(5):49. doi: 10.1007/s00285-024-02071-2.
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.
PMID:38546744 | DOI:10.1007/s00285-024-02071-2
