On the properties of a class of impulsive competition Beverton-Holt equations

This paper is devoted to a type of combined impulsive discrete Beverton-Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equation...

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Autores: De la Sen, Manuel|||0000-0001-9320-9433, Ibeas, Asier|||0000-0001-5094-3152, Alonso-Quesada, Santiago|||0000-0002-4724-7583, Garrido, Aitor J.|||0000-0002-3016-4976, Garrido, Izaskun|||0000-0002-9801-4130
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:271819
Acceso en línea:https://ddd.uab.cat/record/271819
https://dx.doi.org/urn:doi:10.3390/app11199020
Access Level:acceso abierto
Palabra clave:Difference equations
Discrete Beverton-Holt equation
Impulsive equations
Competition
Beverton-Holt equations
Equilibrium points
Non-negativity
Boundedness
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spelling On the properties of a class of impulsive competition Beverton-Holt equationsDe la Sen, Manuel|||0000-0001-9320-9433Ibeas, Asier|||0000-0001-5094-3152Alonso-Quesada, Santiago|||0000-0002-4724-7583Garrido, Aitor J.|||0000-0002-3016-4976Garrido, Izaskun|||0000-0002-9801-4130Difference equationsDiscrete Beverton-Holt equationImpulsive equationsCompetitionBeverton-Holt equationsEquilibrium pointsNon-negativityBoundednessThis paper is devoted to a type of combined impulsive discrete Beverton-Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equations involve competition-type coupled dynamics among a finite set of species. It is assumed that, in general, the intrinsic growth rates and the carrying capacities are eventually distinct for the various species. The impulsive parts of the equations are parameterized by harvesting quotas and independent consumptions which are also eventually distinct for the various species and which control the populations' evolution. The performed study includes the existence of extinction and non-extinction equilibrium points, the conditions of non-negativity and boundedness of the solutions for given finite non-negative initial conditions and the conditions of asymptotic stability without or with extinction of the solutions. 22021-01-0120212021-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/271819https://dx.doi.org/urn:doi:10.3390/app11199020reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 RTI2018-094336-B-I00open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2718192026-06-06T12:50:31Z
dc.title.none.fl_str_mv On the properties of a class of impulsive competition Beverton-Holt equations
title On the properties of a class of impulsive competition Beverton-Holt equations
spellingShingle On the properties of a class of impulsive competition Beverton-Holt equations
De la Sen, Manuel|||0000-0001-9320-9433
Difference equations
Discrete Beverton-Holt equation
Impulsive equations
Competition
Beverton-Holt equations
Equilibrium points
Non-negativity
Boundedness
title_short On the properties of a class of impulsive competition Beverton-Holt equations
title_full On the properties of a class of impulsive competition Beverton-Holt equations
title_fullStr On the properties of a class of impulsive competition Beverton-Holt equations
title_full_unstemmed On the properties of a class of impulsive competition Beverton-Holt equations
title_sort On the properties of a class of impulsive competition Beverton-Holt equations
dc.creator.none.fl_str_mv De la Sen, Manuel|||0000-0001-9320-9433
Ibeas, Asier|||0000-0001-5094-3152
Alonso-Quesada, Santiago|||0000-0002-4724-7583
Garrido, Aitor J.|||0000-0002-3016-4976
Garrido, Izaskun|||0000-0002-9801-4130
author De la Sen, Manuel|||0000-0001-9320-9433
author_facet De la Sen, Manuel|||0000-0001-9320-9433
Ibeas, Asier|||0000-0001-5094-3152
Alonso-Quesada, Santiago|||0000-0002-4724-7583
Garrido, Aitor J.|||0000-0002-3016-4976
Garrido, Izaskun|||0000-0002-9801-4130
author_role author
author2 Ibeas, Asier|||0000-0001-5094-3152
Alonso-Quesada, Santiago|||0000-0002-4724-7583
Garrido, Aitor J.|||0000-0002-3016-4976
Garrido, Izaskun|||0000-0002-9801-4130
author2_role author
author
author
author
dc.subject.none.fl_str_mv Difference equations
Discrete Beverton-Holt equation
Impulsive equations
Competition
Beverton-Holt equations
Equilibrium points
Non-negativity
Boundedness
topic Difference equations
Discrete Beverton-Holt equation
Impulsive equations
Competition
Beverton-Holt equations
Equilibrium points
Non-negativity
Boundedness
description This paper is devoted to a type of combined impulsive discrete Beverton-Holt equations in ecology when eventual discontinuities at sampling time instants are considered. Such discontinuities could be interpreted as impulses in the corresponding continuous-time logistic equations. The set of equations involve competition-type coupled dynamics among a finite set of species. It is assumed that, in general, the intrinsic growth rates and the carrying capacities are eventually distinct for the various species. The impulsive parts of the equations are parameterized by harvesting quotas and independent consumptions which are also eventually distinct for the various species and which control the populations' evolution. The performed study includes the existence of extinction and non-extinction equilibrium points, the conditions of non-negativity and boundedness of the solutions for given finite non-negative initial conditions and the conditions of asymptotic stability without or with extinction of the solutions.
publishDate 2021
dc.date.none.fl_str_mv 2
2021-01-01
2021
2021-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/271819
https://dx.doi.org/urn:doi:10.3390/app11199020
url https://ddd.uab.cat/record/271819
https://dx.doi.org/urn:doi:10.3390/app11199020
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 RTI2018-094336-B-I00
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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