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Extinction, persistence and growing in a degenerate logistic model with impulses

Extinction, persistence and growing in a degenerate logistic model with impulses

This paper deals with an impulsive degenerate logistic model, where pulses are introduced for modeling interventions or disturbances, and degenerate logistic term may describe refugees or protections zones for the species. Firstly, the principal eigenvalue depending on impulse rate, which is regarded as a threshold value, is introduced and characterized. …