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A model for a species with two life history stages and added mortality
Authors:Hugh J Barclay  Pauline van den Driessche
Institution:Department of Biological Sciences, Simon Fraser University, Burnaby, B.C. V5A 1S6 Canada;Department of Mathematics, University of Victoria, Victoria, B.C. Canada
Abstract:A differential equation model of a species with two life stages is constructed, and the behavior of the equilibria investigated when density-independent mortality is continuously imposed. With density dependence largely in recruitment, an increase in either life stage is possible even though mortality is being imposed on both life stages. The equilibrium of a given life stage can increase if density dependence is mainly in that stage.The most effective stage to attack is that which is numerically dominant. With species having a high reproductive potential the most effective way of reducing either stage is to attack the stage with the lesser natural density-independent mortality.Certain parameter values allow multiple positive steady states. Data from Lucilia cuprina appear to conform to some of the predictions of the model.
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