A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species

Publication Type:Journal Article
Year of Publication:2007
Authors:de-Camino-Beck, T., Lewis M. A.
Journal:Bulletin of Mathematical BiologyBulletin of Mathematical Biology
Volume:69
Pagination:1341-1354
Date Published:May
ISBN Number:0092-8240
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.

Scratchpads developed and conceived by (alphabetical): Ed Baker, Katherine Bouton Alice Heaton Dimitris Koureas, Laurence Livermore, Dave Roberts, Simon Rycroft, Ben Scott, Vince Smith