A Nonautonomous Juvenile-Adult Model: Well-Posedness and Long-Time Behavior via a Comparison Principle

A nonautonomous nonlinear continuous juvenile-adult model where juveniles and adults depend on different resources is developed. It is assumed that juveniles are structured by age, while adults are structured by size. Existence-uniqueness results are proved using the monotone method based on a comparison principle established in this paper. Conditions on the model parameters that lead to extinction or persistence of the population are obtained via the upper-lower solution technique.

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