Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent

Cosme Duque

doi:10.15446/recolma.v1n52.74564

Publié-e

2018-01-01

Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent

Existencia de una única solución casi periódica global asintóticamente estable de un sistema Depredador-Presa con respuesta funcional Beddington-DeAngelis y densamente dependiente

DOI :

https://doi.org/10.15446/recolma.v1n52.74564

Mots-clés :

Density dependent predator, Beddington-DeAngelis functional response, discrete predator-prey, almost periodic solution (en)
Densamente dependiente depredador, respuesta fun- cional Beddington-DeAngelis, depredador-presa discreto, solución casi periódica (es)

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Auteurs-es

Cosme Duque Universidad de Los Andes

Résumé (en)
Résumé (es)

The main concern of this paper is to study the dynamics of a discrete predator-prey system with Beddington-DeAngelis functional response and density dependent predator, assuming that the coecients involved in the system are almost periodic. More concretely, under certain conditions, we prove the existence of a unique almost periodic solution which is globally attractive. We exhibit a few numerical examples of the results.

El objetivo principal de este artículo es el de estudiar la dinámica de un sistema depredador-presa discreto con respuesta funcional Beddington-DeAngelis y densamente dependiente del depredador, asumiendo que los coeficientes involucrados en el sistema son casi periódicos. De forma más concreta, bajo ciertas condiciones, probaremos la existencia de una única solución casi periódica la cual es globalmente atractiva. Exhibimos algunos ejemplos numéricos de los resultados.

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Comment citer

APA

Duque, C. (2018). Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent. Revista Colombiana de Matemáticas, 52(1), 87–105. https://doi.org/10.15446/recolma.v1n52.74564

ACM

[1]

Duque, C. 2018. Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent. Revista Colombiana de Matemáticas. 52, 1 (janv. 2018), 87–105. DOI:https://doi.org/10.15446/recolma.v1n52.74564.

ACS

(1)

Duque, C. Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent. rev.colomb.mat 2018, 52, 87-105.

ABNT

DUQUE, C. Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent. Revista Colombiana de Matemáticas, [S. l.], v. 52, n. 1, p. 87–105, 2018. DOI: 10.15446/recolma.v1n52.74564. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/74564. Acesso em: 22 janv. 2025.

Chicago

Duque, Cosme. 2018. « Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent ». Revista Colombiana De Matemáticas 52 (1):87-105. https://doi.org/10.15446/recolma.v1n52.74564.

Harvard

Duque, C. (2018) « Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent », Revista Colombiana de Matemáticas, 52(1), p. 87–105. doi: 10.15446/recolma.v1n52.74564.

IEEE

[1]

C. Duque, « Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent », rev.colomb.mat, vol. 52, nᵒ 1, p. 87–105, janv. 2018.

MLA

Duque, C. « Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent ». Revista Colombiana de Matemáticas, vol. 52, nᵒ 1, janvier 2018, p. 87-105, doi:10.15446/recolma.v1n52.74564.

Turabian

Duque, Cosme. « Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent ». Revista Colombiana de Matemáticas 52, no. 1 (janvier 1, 2018): 87–105. Consulté le janvier 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/74564.

Vancouver

1.

Duque C. Existence of Unique and Global Asymptotically Stable Almost Periodic Solution of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response and Density Dependent. rev.colomb.mat [Internet]. 1 janv. 2018 [cité 22 janv. 2025];52(1):87-105. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/74564

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