Contribution to Competing Species Modeling with Distributed Delay

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dc.creatorCavani, Mario
dc.date2022-07-29
dc.date.accessioned2022-07-31T09:02:28Z
dc.date.available2022-07-31T09:02:28Z
dc.descriptionIn this paper a competing species model is analyzed taking into account the seminal paper of Hsu, Hubbell and Waltman (1978), where two predators compete for a common prey without interference between rivals. Here a distributed delay is introduced in each one of the equations of the predator populations in the same way as suggested by Wolkowicz, Xia & Ruan (1997), in order to model the conversion time lag of consumed prey biomass into predator biomass. Using the linear trick chain technique, the solutions are analyzed from an “equivalent system” of ordinary differential equations looking to answer under what conditions will neither, one, or both species of predator populations survive, giving the appropriate insight of the biological point of view.en-US
dc.descriptionIn this paper a competing species model is analyzed taking into account the seminal paper of Hsu, Hubbell and Waltman (1978), where two predators compete for a common prey without interference between rivals. Here a distributed delay is introduced in each one of the equations of the predator populations in the same way as suggested by Wolkowicz, Xia & Ruan (1997), in order to model the conversion time lag of consumed prey biomass into predator biomass. Using the linear trick chain technique, the solutions are analyzed from an “equivalent system” of ordinary differential equations looking to answer under what conditions will neither, one, or both species of predator populations survive, giving the appropriate insight of the biological point of view.es-ES
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dc.identifierhttps://revistas.intec.edu.do/index.php/cienacli/article/view/2225
dc.identifier10.22206/cac.2022.v5i1.pp85-95
dc.identifier.urihttps://repositoriobiblioteca.intec.edu.do/handle/123456789/5961
dc.languagespa
dc.publisherInstituto Tecnológico de Santo Domingo (INTEC)es-ES
dc.relationhttps://revistas.intec.edu.do/index.php/cienacli/article/view/2225/3012
dc.relationhttps://revistas.intec.edu.do/index.php/cienacli/article/view/2225/3013
dc.rightsDerechos de autor 2022 Ciencia, Ambiente y Climaes-ES
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/4.0es-ES
dc.sourceScience, Environment and Climate; Vol. 5 No. 1 (2022): Science, Environment and Climate; 85-95en-US
dc.sourceCiencia, Ambiente y Clima; Vol. 5 Núm. 1 (2022): Ciencia, Ambiente y Clima; 85-95es-ES
dc.source2636-2333
dc.source2636-2317
dc.source10.22206/cac.2022.v5i1
dc.subjectCompeting speciesen-US
dc.subjectDifferential Equationsen-US
dc.subjectDistributed Delayen-US
dc.subjectPeriodic orbiten-US
dc.subjectHopf Bifurcationen-US
dc.subjectespecies competidorases-ES
dc.subjectecuaciones diferencialeses-ES
dc.subjectretardo distribuidoes-ES
dc.subjectórbita periódicaes-ES
dc.subjectbifurcación de Hopfes-ES
dc.titleContribution to Competing Species Modeling with Distributed Delayen-US
dc.titleContribution to Competing Species Modeling with Distributed Delayes-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
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