title: A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species.
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.
authors.affiliation: Centre for Mathematical Biology and Department of Biological Sciences, University of Alberta, Edmonton, Alberta, Canada. tomasd@math.ualberta.ca
authors.forename: T
authors.initials: T
authors.lastname: de-Camino-Beck
authors.forename: M A
authors.initials: MA
authors.lastname: Lewis
mesh_terms: D031177:Carduus / Q000254:growth & development; D031168:Matricaria / Q000254:growth & development; D008954:Models, Biological; D063245:Plant Development