Consequences of refuge and diffusion in a spatiotemporal predator–prey model

• Published in: Nonlinear analysis: real world applications Vol. 60; p. 103311
• Main Authors: Han, Renji, Guin, Lakshmi Narayan, Dai, Binxiang
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2021
• Subjects: Diffusion-driven instability; Non-constant steady state; Persistence; Prey refuge; Reaction–diffusion model; Spatiotemporal pattern formation; Persistence; Spatiotemporal pattern formation; Diffusion-driven instability; Reaction–diffusion model; Prey refuge; Non-constant steady state

In this investigation, we offer and examine a predator–prey interacting model with prey refuge in proportion to both the species and Beddington–DeAngelis functional response. We first prove the well-posedness of the temporal and spatiotemporal models which are restricted in a positive invariant regi...