Permanence of population growth models with impulsive effects. (English) Zbl 1185.34014

Summary: This paper establishes criteria for permanence of populations which undergo impulsive effects at fixed times between intervals of continuous evolution governed by a differential system. It is also shown that suitable impulses may prevent the extinction or unbounded growth of populations whose evolutions are otherwise governed solely by a differential system. Examples are provided to demonstrate the application of the results obtained.


34A37 Ordinary differential equations with impulses
92D25 Population dynamics (general)
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