A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge

Descripción del Articulo

This study investigates an eco-epidemiological model incorporating feedback mechanisms and prey refuge, formulated as a system of nonlinear ordinary differential equations. The model describes interactions among susceptible prey, infected prey, and predators, including disease transmisión and nonlin...

Descripción completa

Detalles Bibliográficos
Autores: Pino Romero , Neisser, López-Cruz, Roxana
Formato: artículo
Fecha de Publicación:2025
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/6621
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6621
Nivel de acceso:acceso abierto
Materia:Eco-epidemiological model
Prey refuge
Feedback mechanisms
Stability analysis
Numerical simulations
Modelo eco-epidemiológico
Refugio en la presa
Mecanismo de retroalimentación
Análisis de estabilidad
Simulaciones numéricas
id REVUNITRU_e3e3ee4f1fdf503a13d7d3ff01318b32
oai_identifier_str oai:ojs.revistas.unitru.edu.pe:article/6621
network_acronym_str REVUNITRU
network_name_str Revistas - Universidad Nacional de Trujillo
repository_id_str
spelling A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refugeAnálisis matemático de un modelo eco-epidemiológico con efecto de retroalimentación y refugio en la presaPino Romero , NeisserLópez-Cruz, RoxanaEco-epidemiological modelPrey refugeFeedback mechanismsStability analysisNumerical simulationsModelo eco-epidemiológicoRefugio en la presaMecanismo de retroalimentaciónAnálisis de estabilidadSimulaciones numéricasEco-epidemiological modelPrey refugeFeedback mechanismsStability analysisNumerical simulationsThis study investigates an eco-epidemiological model incorporating feedback mechanisms and prey refuge, formulated as a system of nonlinear ordinary differential equations. The model describes interactions among susceptible prey, infected prey, and predators, including disease transmisión and nonlinear predation effects. We establish the existence, uniqueness, and positivity of solutions, and analyze their boundedness within a biologically feasible region. Local stability of equilibria is studied via linearization, while global stability is proven using Lyapunov functions. Numerical simulations complement the analytical results, demonstrating how key parameters affect the system’s long-term dynamics.Este estudio analiza un modelo eco-epidemiológico que incorpora mecanismos de retroalimentación y refugio en la presa, formulado como un sistema no lineal de ecuaciones diferenciales ordinarias. El modelo describe las interacciones entre presas susceptibles, presas infectadas y depredadores, considerando la transmisión de la enfermedad y efectos de depredación no lineales. Se demuestra la existencia, unicidad y positividad de las soluciones, y se estudia su acotación dentro de una región biológicamente factible. La estabilidad local de los equilibrios se analiza mediante técnicas de linealización, mientras que la estabilidad global se establece a través de funciones de Lyapunov. Simulaciones numéricas complementan los resultados teóricos, mostrando cómo los parámetros clave afectan la dinámica a largo plazo del sistema.This study investigates an eco-epidemiological model incorporating feedback mechanisms and prey refuge, formulated as a system of nonlinear ordinary differential equations. The model describes interactions among susceptible prey, infected prey, and predators, including disease transmisión and nonlinear predation effects. We establish the existence, uniqueness, and positivity of solutions, and analyze their boundedness within a biologically feasible region. Local stability of equilibria is studied via linearization, while global stability is proven using Lyapunov functions. Numerical simulations complement the analytical results, demonstrating how key parameters affect the system’s long-term dynamics.National University of Trujillo - Academic Department of Mathematics2025-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6621Selecciones Matemáticas; Vol. 12 No. 01 (2025): January - July; 67 - 85Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 67 - 85Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 67 - 852411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/6621/6856https://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/66212025-07-26T15:43:48Z
dc.title.none.fl_str_mv A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
Análisis matemático de un modelo eco-epidemiológico con efecto de retroalimentación y refugio en la presa
title A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
spellingShingle A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
Pino Romero , Neisser
Eco-epidemiological model
Prey refuge
Feedback mechanisms
Stability analysis
Numerical simulations
Modelo eco-epidemiológico
Refugio en la presa
Mecanismo de retroalimentación
Análisis de estabilidad
Simulaciones numéricas
Eco-epidemiological model
Prey refuge
Feedback mechanisms
Stability analysis
Numerical simulations
title_short A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
title_full A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
title_fullStr A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
title_full_unstemmed A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
title_sort A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
dc.creator.none.fl_str_mv Pino Romero , Neisser
López-Cruz, Roxana
author Pino Romero , Neisser
author_facet Pino Romero , Neisser
López-Cruz, Roxana
author_role author
author2 López-Cruz, Roxana
author2_role author
dc.subject.none.fl_str_mv Eco-epidemiological model
Prey refuge
Feedback mechanisms
Stability analysis
Numerical simulations
Modelo eco-epidemiológico
Refugio en la presa
Mecanismo de retroalimentación
Análisis de estabilidad
Simulaciones numéricas
Eco-epidemiological model
Prey refuge
Feedback mechanisms
Stability analysis
Numerical simulations
topic Eco-epidemiological model
Prey refuge
Feedback mechanisms
Stability analysis
Numerical simulations
Modelo eco-epidemiológico
Refugio en la presa
Mecanismo de retroalimentación
Análisis de estabilidad
Simulaciones numéricas
Eco-epidemiological model
Prey refuge
Feedback mechanisms
Stability analysis
Numerical simulations
description This study investigates an eco-epidemiological model incorporating feedback mechanisms and prey refuge, formulated as a system of nonlinear ordinary differential equations. The model describes interactions among susceptible prey, infected prey, and predators, including disease transmisión and nonlinear predation effects. We establish the existence, uniqueness, and positivity of solutions, and analyze their boundedness within a biologically feasible region. Local stability of equilibria is studied via linearization, while global stability is proven using Lyapunov functions. Numerical simulations complement the analytical results, demonstrating how key parameters affect the system’s long-term dynamics.
publishDate 2025
dc.date.none.fl_str_mv 2025-07-26
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6621
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6621
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/6621/6856
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv 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. 12 No. 01 (2025): January - July; 67 - 85
Selecciones Matemáticas; Vol. 12 Núm. 01 (2025): Enero - Julio; 67 - 85
Selecciones Matemáticas; v. 12 n. 01 (2025): Janeiro - Julho; 67 - 85
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1847155319641210880
score 13.402391
A mathematical analysis of an eco-epidemiological model with prey-feedback effect and prey-refuge
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).

Ejemplares Similares