Rethinking the logistic approach for population dynamics of mutualistic interactions

García Algarra, Francisco Javier; Galeano, Javier; Pastor Ruiz, Juan Manuel; Iriondo, José María y Ramasco, José Javier (2014). Rethinking the logistic approach for population dynamics of mutualistic interactions. "Journal of Theoretical Biology", v. 363 ; pp. 332-343. ISSN 0022-5193. https://doi.org/10.1016/j.jtbi.2014.08.039.

Descripción

Título: Rethinking the logistic approach for population dynamics of mutualistic interactions
Autor/es:
  • García Algarra, Francisco Javier
  • Galeano, Javier
  • Pastor Ruiz, Juan Manuel
  • Iriondo, José María
  • Ramasco, José Javier
Tipo de Documento: Artículo
Título de Revista/Publicación: Journal of Theoretical Biology
Fecha: Diciembre 2014
Volumen: 363
Materias:
Escuela: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Departamento: Otro
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

Texto completo

[img]
Vista Previa
PDF (Document Portable Format) - Se necesita un visor de ficheros PDF, como GSview, Xpdf o Adobe Acrobat Reader
Descargar (1MB) | Vista Previa

Resumen

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

Proyectos asociados

TipoCódigoAcrónimoResponsableTítulo
Gobierno de EspañaMTM2012-39101Sin especificarUniversidad Politécnica de MadridCaos clásico y cuántico en sistemas hamiltonianos, y complejidad
Gobierno de EspañaFIS2011-24785Sin especificarCSICModelización y análisis de sistemas sociales: evolución estructural, correlaciones temporales y propagación de opiniones

Más información

ID de Registro: 43549
Identificador DC: http://oa.upm.es/43549/
Identificador OAI: oai:oa.upm.es:43549
Identificador DOI: 10.1016/j.jtbi.2014.08.039
URL Oficial: http://www.sciencedirect.com/science/article/pii/S0022519314005001
Depositado por: Memoria Investigacion
Depositado el: 14 Oct 2016 16:33
Ultima Modificación: 14 Oct 2016 16:33
  • Open Access
  • Open Access
  • Sherpa-Romeo
    Compruebe si la revista anglosajona en la que ha publicado un artículo permite también su publicación en abierto.
  • Dulcinea
    Compruebe si la revista española en la que ha publicado un artículo permite también su publicación en abierto.
  • Recolecta
  • e-ciencia
  • Observatorio I+D+i UPM
  • OpenCourseWare UPM