Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
A SIMPLE AND BOUNDED MODEL OF POPULATION DYNAMICS FOR MUTUALISTIC NETWORKS
Year:2015
Research Areas
  • Phisics,
  • Physics - Complex systems
Information
Abstract
Dynamic population models are based on the Verhulst?s equation (logisitic equation), where the classic Malthusian growth rate is damped by intraspecific competition terms. Mainstream population models for mutualism are modifications of the logistic equation with additional terms to account for the benefits produced by the interspecies interactions. These models have shortcomings as the population divergence under some conditions (May?s equations) or a mathematical complexity that difficults their analytical treatment (Wright?s type II models). In this work, we introduce a model for the population dynamics in mutualism inspired by the logistic equation but cured of divergences. The model is also mathematically more simple than the type II. We use numerical simulations to study the model stability in more general interaction scenarios. Despite its simplicity, our results suggest that the model dynamics are rich and may be used to gain further insights in the dynamics of mutualistic interactions.
International
Si
JCR
Si
Title
Networks And Heterogeneous Media
ISBN
1556-1801
Impact factor JCR
0,952
Impact info
Datos JCR del año 2013
Volume
10
http://dx.doi.org/10.3934/nhm.2015.10.53
Journal number
1
From page
53
To page
70
Month
MARZO
Ranking
Participants
  • Autor: Juan Manuel Pastor Ruiz (UPM)
  • Autor: Francisco Javier Garcia Algarra (UPM)
  • Autor: Javier Ricardo Galeano Prieto (UPM)
  • Autor: Jose Maria Iriondo Alegria (UPM)
  • Autor: José Javier Ramasco Sukía (IFSIC - CSIC)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Ingeniería Agroforestal
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)