Abstract
This paper investigates the diffusive logistic equation with a sedentary compartment and free boundary whose dynamics has been considered by Wang and Cao (2015) when the intrinsic rate r of reproduction in the stationary class is less than the rate c of switching from stationary to mobile. However, the case r≥c is left as an open problem in Wang and Cao (2015). We shall show that spreading happens if r≥c and give the longtime behavior.
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