Dinámica de un modelo depredador-presa con retardo, efecto miedo, refugio adaptativo y alimento alternativo

Autores/as

  • Neisser Pino-Romero Departamento Académico de Ciencias Exactas, Facultad de Ciencias e Ingeniería, Universidad Peruana Cayetano Heredia. Av. Honorio Delgado 430, Urb Ingeniería, Lima, Perú.

DOI:

https://doi.org/10.17268/sel.mat.2026.01.08

Palabras clave:

Modelo depredador-presa, efecto miedo, bifurcación de Hopf, análisis de sensibilidad, retardo temporal

Resumen

En este trabajo se analiza un modelo depredador–presa con retardo temporal que incorpora efecto miedo, refugio adaptativo y alimento alternativo. Se establecen propiedades fundamentales como positividad, acotación, permanencia y estabilidad. Los resultados muestran que el retardo temporal puede desestabilizar el equilibrio coexistente y generar oscilaciones sostenidas mediante bifurcación de Hopf. Simulaciones numéricas y análisis global de sensibilidad basados en PRCC e índices de Sobol revelan que el retardo y el alimento alternativo son mecanismos dominantes en la regulación de la estabilidad ecológica.

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Publicado

2026-07-27

Cómo citar

Dinámica de un modelo depredador-presa con retardo, efecto miedo, refugio adaptativo y alimento alternativo. (2026). Selecciones Matemáticas, 13(01), 111-129. https://doi.org/10.17268/sel.mat.2026.01.08

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