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The role of population inertia in predicting the outcome of stage-structured biological invasions.
- Source :
-
Mathematical Biosciences . Jul2015, Vol. 265, p1-11. 11p. - Publication Year :
- 2015
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00255564
- Volume :
- 265
- Database :
- Academic Search Index
- Journal :
- Mathematical Biosciences
- Publication Type :
- Periodical
- Accession number :
- 102982716
- Full Text :
- https://doi.org/10.1016/j.mbs.2015.04.005