A model for seagrass species competition: Dynamics of the symmetric case

Pablo Moreno-Spiegelberg¹ ; Damià Gomila¹

¹ IFISC (CSIC-UIB), Instituto de Física Interdisciplinar y Sistemas Complejos, E-07122 Palma de Mallorca, Spain

Mathematical modelling of natural phenomena, Tome 19 (2024), article no. 2

Résumé

We propose a general population dynamics model for two seagrass species growing and interacting in two spatial dimensions. The model includes spatial terms accounting for the clonal growth characteristics of seagrasses, and coupling between species through the net mortality rate. We consider both intraspecies and interspecies facilitative and competitive interactions, allowing density-dependent interaction mechanisms. Here we study the case of very similar species with reciprocal interactions, which allows reducing the number of the model parameters to just four, and whose bifurcation structure can be considered the backbone of the general case. We find that the parameter space can be divided into ten regions with qualitatively different bifurcation diagrams. These regions can be further grouped into just five regimes with different ecological interpretations. Our analysis allows the classification of all possible density distributions and dynamical behaviors of meadows with two coexisting species.

Détail

DOI : 10.1051/mmnp/2023033

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