Rethinking the logistic approach for population dynamics of mutualistic interactions

García Algarra, Francisco Javier and Galeano, Javier and Pastor Ruiz, Juan Manuel and Iriondo, José María and 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.

Description

Title: Rethinking the logistic approach for population dynamics of mutualistic interactions
Author/s:
  • García Algarra, Francisco Javier
  • Galeano, Javier
  • Pastor Ruiz, Juan Manuel
  • Iriondo, José María
  • Ramasco, José Javier
Item Type: Article
Título de Revista/Publicación: Journal of Theoretical Biology
Date: December 2014
ISSN: 0022-5193
Volume: 363
Subjects:
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2012-39101UnspecifiedUniversidad Politécnica de MadridCaos clásico y cuántico en sistemas hamiltonianos, y complejidad
Government of SpainFIS2011-24785UnspecifiedCSICModelización y análisis de sistemas sociales: evolución estructural, correlaciones temporales y propagación de opiniones

More information

Item ID: 43549
DC Identifier: http://oa.upm.es/43549/
OAI Identifier: oai:oa.upm.es:43549
DOI: 10.1016/j.jtbi.2014.08.039
Official URL: http://www.sciencedirect.com/science/article/pii/S0022519314005001
Deposited by: Memoria Investigacion
Deposited on: 14 Oct 2016 16:33
Last Modified: 14 Oct 2016 16:33
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