Marva M., Moussaoui A., Bravo de la parra R., Auger Pierre. (2013). A density-dependent model describing age-structured population dynamics using hawk-dove tactics. Journal of Difference Equations and Applications, 19 (6), p. 1022-1034. ISSN 1023-6198.
Titre du document
A density-dependent model describing age-structured population dynamics using hawk-dove tactics
Marva M., Moussaoui A., Bravo de la parra R., Auger Pierre
Source
Journal of Difference Equations and Applications, 2013,
19 (6), p. 1022-1034 ISSN 1023-6198
In this paper we deal with a nonlinear two-timescale discrete population model that couples age-structured demography with individual competition for resources. Individuals are divided into juvenile and adult classes, and demography is described by means of a density-dependent Leslie matrix. Adults compete to access resources; every time two adults meet, they choose either being aggressive (hawk) or non-aggressive (dove) to get the best pay-off. Individual encounters occur much more frequently than demographic events, what yields that the model takes the form of a two-timescale system. Approximate aggregation methods allow us to reduce the system while preserving at the same time crucial asymptotic information for the whole population. In this way, we are able to describe the total population size as function of individual aggressiveness level and environmental richness. Model analysis shows a general trend with species that look for richer environment having smaller proportions of hawk individuals with larger costs.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
