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A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin. (English) Zbl 1162.92330

Summary: We concentrate on the study of a single stage-structured population model with mature individuals in a polluted an environment and pulse input of an environmental toxin. A globally attractive condition for the population-extinction boundary periodic solution of the investigated system is obtained. Sufficient criteria on the permanence of the population are derived.

MSC:

92D40 Ecology
34D23 Global stability of solutions to ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
92D25 Population dynamics (general)
34A37 Ordinary differential equations with impulses
34C25 Periodic solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
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