A Simple and Bounded Model of Population Dynamics for Mutualistic Networks

Pastor Ruiz, Juan Manuel and García Algarra, Francisco Javier and Galeano, Javier and Iriondo, José María and Ramasco, José Javier (2015). A Simple and Bounded Model of Population Dynamics for Mutualistic Networks. "Networks And Heterogeneous Media", v. 10 (n. 1); pp. 53-70. ISSN 1556-1801. https://doi.org/10.3934/nhm.2015.10.53.

Description

Title: A Simple and Bounded Model of Population Dynamics for Mutualistic Networks
Author/s:
  • Pastor Ruiz, Juan Manuel
  • García Algarra, Francisco Javier
  • Galeano, Javier
  • Iriondo, José María
  • Ramasco, José Javier
Item Type: Article
Título de Revista/Publicación: Networks And Heterogeneous Media
Date: March 2015
ISSN: 1556-1801
Volume: 10
Subjects:
Faculty: E.U.I.T. Agrícolas (UPM)
Department: Ingeniería Agroforestal
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2012-39101UnspecifiedUnspecifiedCaos clásico y cuántico en sistemas hamiltonianos, y complejidad
Government of SpainFIS2011-24785MODASSUnspecifiedModelización y análisis de sistemas sociales: evolución estructural, correlaciones temporales y propagación de opiniones
Madrid Regional GovernmentS2009/ESP-1691MODELICOUnspecifiedUnspecified
Government of SpainCGL2012-33528ADAPTAUnspecifiedUnspecified
FP7318367EUNOIAUnspecifiedEvolutive User-centric Networks for Intraurban Accessibility

More information

Item ID: 43547
DC Identifier: http://oa.upm.es/43547/
OAI Identifier: oai:oa.upm.es:43547
DOI: 10.3934/nhm.2015.10.53
Official URL: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10839
Deposited by: Memoria Investigacion
Deposited on: 23 Jan 2017 12:19
Last Modified: 07 Jun 2019 18:05
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