Department of Applied Mathematics Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Abstract:
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.