Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator
Descripción del Articulo
In this work, a May-Holling-Tanner ratio-dependent predator-prey model is studied with an alternative food source for the predator, described by a two-dimensional system of ordinary differential equations. We study the existence and uniqueness of the solutions of the mentioned above system. In addit...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de Publicación: | 2022 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | español |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/4274 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4274 |
| Nivel de acceso: | acceso abierto |
| Materia: | May-Holling-Tanner model ratio-dependent alternative food simulations Modelo May-Holing-Tanner razón-dependiente alimento alternativo simulaciones |
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Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predatorAnálisis cualitativo y simulaciones de un modelo depredador-presa tipo May-Holling-Tanner rázon-dependiente con una fuente alternativa de alimento para el depredadorRomero-Ordoñez, MarcoPérez-Núñez, JhellyVásquez-Serpa, LuisMay-Holling-Tanner modelratio-dependentalternative foodsimulationsModelo May-Holing-Tannerrazón-dependientealimento alternativosimulacionesIn this work, a May-Holling-Tanner ratio-dependent predator-prey model is studied with an alternative food source for the predator, described by a two-dimensional system of ordinary differential equations. We study the existence and uniqueness of the solutions of the mentioned above system. In addition, the boundedness and positivity of these solutions are analyzed and we establish conditions for the local stability of a simplified model, through a differentiable equivalence. Likewise, the Python programming language is used to perform the simulations using the Runge-Kutta numerical method of order four with the aim of showing the different cases of qualitative analysis.En el presente trabajo, se estudia un modelo depredador-presa tipo May-Holling-Tanner razón-dependiente con una fuente alternativa de alimento para el depredador, descrito por un sistema bidimensional de ecuaciones diferenciales ordinarias. Estudiamos la existencia y unicidad de las soluciones del sistema antes mencionado. Además, se analiza la acotación y positividad de dichas soluciones y establecemos condiciones para la estabilidad local de un modelo simplificado, mediante una equivalencia diferenciable. Asimismo, se usa el lenguaje de programación Python para realizar las simulaciones haciendo uso del método numérico Runge-Kutta de orden cuatro con el objetivo de mostrar los diferentes casos del análisis cualitativo.National University of Trujillo - Academic Department of Mathematics2022-07-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículo evaluado por paresPeer-Review articleapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4274Selecciones Matemáticas; Vol. 9 No. 01 (2022): January - July; 196 - 209Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 196 - 209Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 196 - 2092411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4274/4996Derechos de autor 2022 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/42742022-07-27T15:32:31Z |
| dc.title.none.fl_str_mv |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator Análisis cualitativo y simulaciones de un modelo depredador-presa tipo May-Holling-Tanner rázon-dependiente con una fuente alternativa de alimento para el depredador |
| title |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator |
| spellingShingle |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator Romero-Ordoñez, Marco May-Holling-Tanner model ratio-dependent alternative food simulations Modelo May-Holing-Tanner razón-dependiente alimento alternativo simulaciones |
| title_short |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator |
| title_full |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator |
| title_fullStr |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator |
| title_full_unstemmed |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator |
| title_sort |
Qualitative analysis and simulations of a ratio-dependent May-Holling-Tanner predator-prey model with an alternative food source for the predator |
| dc.creator.none.fl_str_mv |
Romero-Ordoñez, Marco Pérez-Núñez, Jhelly Vásquez-Serpa, Luis |
| author |
Romero-Ordoñez, Marco |
| author_facet |
Romero-Ordoñez, Marco Pérez-Núñez, Jhelly Vásquez-Serpa, Luis |
| author_role |
author |
| author2 |
Pérez-Núñez, Jhelly Vásquez-Serpa, Luis |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
May-Holling-Tanner model ratio-dependent alternative food simulations Modelo May-Holing-Tanner razón-dependiente alimento alternativo simulaciones |
| topic |
May-Holling-Tanner model ratio-dependent alternative food simulations Modelo May-Holing-Tanner razón-dependiente alimento alternativo simulaciones |
| description |
In this work, a May-Holling-Tanner ratio-dependent predator-prey model is studied with an alternative food source for the predator, described by a two-dimensional system of ordinary differential equations. We study the existence and uniqueness of the solutions of the mentioned above system. In addition, the boundedness and positivity of these solutions are analyzed and we establish conditions for the local stability of a simplified model, through a differentiable equivalence. Likewise, the Python programming language is used to perform the simulations using the Runge-Kutta numerical method of order four with the aim of showing the different cases of qualitative analysis. |
| publishDate |
2022 |
| dc.date.none.fl_str_mv |
2022-07-27 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares Peer-Review article |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4274 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4274 |
| dc.language.none.fl_str_mv |
spa |
| language |
spa |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4274/4996 |
| dc.rights.none.fl_str_mv |
Derechos de autor 2022 Selecciones Matemáticas https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Derechos de autor 2022 Selecciones Matemáticas https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 9 No. 01 (2022): January - July; 196 - 209 Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 196 - 209 Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 196 - 209 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
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Universidad Nacional de Trujillo |
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UNITRU |
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UNITRU |
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Revistas - Universidad Nacional de Trujillo |
| collection |
Revistas - Universidad Nacional de Trujillo |
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1849057836565266432 |
| score |
13.370498 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
