English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/116058
logo share SHARE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE
Exportar a otros formatos:


Rethinking the logistic approach for population dynamics of mutualistic interactions

AuthorsGarcía-Algarra, Javier; Galeano, Javier; Pastor, Juan Manuel; Iriondo, José María; Ramasco, José J. CSIC ORCID
Logistic equation
Issue Date21-Dec-2014
CitationJournal of Theoretical Biology 363: 332-343 (2014)
Abstract© 2014 Elsevier Ltd. Mutualistic communities have an internal structure that makes them resilient to external perturbations. Late research has focused on their stability and the topology of the relations between the different organisms to explain the reasons of the system robustness. Much less attention has been invested in analyzing the systems dynamics. The main population models in use are modifications of the r-. K formulation of logistic equation with additional terms to account for the benefits produced by the interspecific interactions. These models have shortcomings as the so-called r-. K formulation diverges under some conditions. In this work, we introduce a model for population dynamics under mutualism that preserves the original logistic formulation. It is mathematically simpler than the widely used type II models, although it shows similar complexity in terms of fixed points and stability of the dynamics. We perform an analytical stability analysis and numerical simulations to study the model behavior in general interaction scenarios including tests of the resilience of its dynamics under external perturbations. Despite its simplicity, our results indicate that the model dynamics shows an important richness that can be used to gain further insights in the dynamics of mutualistic communities.
Publisher version (URL)http://dx.doi.org/10.1016/j.jtbi.2014.08.039
Identifiersdoi: 10.1016/j.jtbi.2014.08.039
issn: 1095-8541
Appears in Collections:(IFISC) Artículos
Files in This Item:
File Description SizeFormat 
rethinking_logistic_Garcia.pdf1,23 MBAdobe PDFThumbnail
Show full item record
Review this work

Related articles:

WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.