Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4497993 | Journal of Theoretical Biology | 2009 | 9 Pages |
Abstract
This work deals with a general class of two-time scales discrete nonlinear dynamical systems which are susceptible of being studied by means of a reduced system that is obtained using the so-called aggregation of variables method. This reduction process is applied to several models of population dynamics driven by demographic and migratory processes which take place at two different time scales: slow and fast. An analysis of these models exchanging the role of the slow and fast dynamics is provided: when a Leslie type demography is faster than migrations, a multi-attractor scenario appears for the reduced dynamics; on the other hand, when the migratory process is faster than demography, the reduction process gives rise to new interpretations of well known discrete models, including some Allee effect scenarios.
Related Topics
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Agricultural and Biological Sciences (General)
Authors
M. Marvá, E. Sánchez, R. Bravo de la Parra, L. Sanz,