Article ID Journal Published Year Pages File Type
4633983 Applied Mathematics and Computation 2008 12 Pages PDF
Abstract

We investigate the effect of a positive population inflow of individuals from an external source on the dynamical behaviour of certain physiologically structured population models. We treat a size-structured model with constant inflow and nonlinear birth rate and an age-structured model with nonlinear (density dependent) inflow and linear birth rate. Analogously to the inherent net reproduction rate we introduce a net growth rate and discuss how this net growth rate can be related to our stability/instability conditions.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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