The role of population inertia in predicting the outcome of stage-structured biological invasions
Hodgson, David J.
© 2015 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license: http://creativecommons.org/licenses/by/4.0/
Deterministic dynamic models for coupled resident and invader populations are considered with the purpose of finding quantities that are effective at predicting when the invasive population will become established asymptotically. A key feature of the models considered is the stage-structure, meaning that the populations are described by vectors of discrete developmental stage- or age-classes. The vector structure permits exotic transient behaviour-phenomena not encountered in scalar models. Analysis using a linear Lyapunov function demonstrates that for the class of population models considered, a large so-called population inertia is indicative of successful invasion. Population inertia is an indicator of transient growth or decline. Furthermore, for the class of models considered, we find that the so-called invasion exponent, an existing index used in models for invasion, is not always a reliable comparative indicator of successful invasion. We highlight these findings through numerical examples and a biological interpretation of why this might be the case is discussed.
Engineering and Physical Sciences Research Council (EPSRC)
Open Access article
Vol. 265, pp. 1 - 11
Place of publication