, Volume 69, Issue 4, pp 1341-1354
Date: 15 Feb 2007

A New Method for Calculating Net Reproductive Rate from Graph Reduction with Applications to the Control of Invasive Species

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Abstract

Matrix models are widely used for demographic analysis of age and stage structured biological populations. Dynamic properties of the model can be summarized by the net reproductive rate R 0. In this paper, we introduce a new method to calculate and analyze the net reproductive rate directly from the life cycle graph of the matrix. We show, with examples, how our method of analysis of R 0 can be used in the design of strategies for controlling invasive species.