Periodic Orbits for a Three-Dimensional Biological Differential Systems

We study the existence of periodic orbit for a differential system describing the effects of indirect predation over two preys. Besides discussing a generalized version of the model, we present some remarks and numerical experiments for the nonautonomous version of the two models.

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Bibliographic Details
Main Authors: Renato Colucci, Daniel Nuñez
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/465183
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author Renato Colucci
Daniel Nuñez
author_facet Renato Colucci
Daniel Nuñez
author_sort Renato Colucci
collection DOAJ
description We study the existence of periodic orbit for a differential system describing the effects of indirect predation over two preys. Besides discussing a generalized version of the model, we present some remarks and numerical experiments for the nonautonomous version of the two models.
format Article
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institution Kabale University
issn 1085-3375
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language English
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series Abstract and Applied Analysis
spelling doaj-art-782b4b7fd83f466db212162c4e99bb912025-02-03T06:01:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/465183465183Periodic Orbits for a Three-Dimensional Biological Differential SystemsRenato Colucci0Daniel Nuñez1Departamento de Matemáticas, Pontificia Universidad Javeriana, Carrera 7, No. 43-82, Bogotá, ColombiaDepartamento de Ciencias Naturales y Matemáticas, Facultad de Ingeniería, Pontificia Universidad Javeriana, Cali, ColombiaWe study the existence of periodic orbit for a differential system describing the effects of indirect predation over two preys. Besides discussing a generalized version of the model, we present some remarks and numerical experiments for the nonautonomous version of the two models.http://dx.doi.org/10.1155/2013/465183
spellingShingle Renato Colucci
Daniel Nuñez
Periodic Orbits for a Three-Dimensional Biological Differential Systems
Abstract and Applied Analysis
title Periodic Orbits for a Three-Dimensional Biological Differential Systems
title_full Periodic Orbits for a Three-Dimensional Biological Differential Systems
title_fullStr Periodic Orbits for a Three-Dimensional Biological Differential Systems
title_full_unstemmed Periodic Orbits for a Three-Dimensional Biological Differential Systems
title_short Periodic Orbits for a Three-Dimensional Biological Differential Systems
title_sort periodic orbits for a three dimensional biological differential systems
url http://dx.doi.org/10.1155/2013/465183
work_keys_str_mv AT renatocolucci periodicorbitsforathreedimensionalbiologicaldifferentialsystems
AT danielnunez periodicorbitsforathreedimensionalbiologicaldifferentialsystems