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Permanence of population growth models with impulsive effects
Authors:G Ballinger  X Liu
Institution:

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.
Keywords:Permanence  Population growth models  Impulses  Lyapunov function
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