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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.

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Authors and Affiliations

  1. Centre for Mathematical Biology and Department of Biological Sciences, University of Alberta, Edmonton, Alberta, T6G 2E9, Canada

    T. de-Camino-Beck & M. A. Lewis

  2. Centre for Mathematical Biology and Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada

    M. A. Lewis

Authors
  1. T. de-Camino-Beck
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  2. M. A. Lewis
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Correspondence to T. de-Camino-Beck.

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de-Camino-Beck, T., Lewis, M.A. A New Method for Calculating Net Reproductive Rate from Graph Reduction with Applications to the Control of Invasive Species. Bull. Math. Biol. 69, 1341–1354 (2007). https://doi.org/10.1007/s11538-006-9162-0

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  • DOI: https://doi.org/10.1007/s11538-006-9162-0

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