Permanence of population growth models with impulsive effects

Authors:
G. Ballinger;X. Liu
Affiliations:
Department of Applied Mathematics Faculty of Mathematics, University of Waterloo Waterloo, Ontario, Canada N2L 3G1;Department of Applied Mathematics Faculty of Mathematics, University of Waterloo Waterloo, Ontario, Canada N2L 3G1
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1997

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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.