Dynamics and pattern formation in a diffusive Beddington-DeAngelis predator-prey model with fear effect

2025/06/27 by Aung Zaw Myint, Aye Chan May, Myint, Aung Zaw +7
Computer Science · Mathematics · Medicine · #35A01 #35B09 #35B45 #92D25 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.2506.22070

openalex publication_date 2025/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, dynamical properties and positive steady states of a diffusive predator-prey system with fear effect and Beddington-DeAngelis functional response subject to Neumann boundary conditions are investigated. Dynamical properties of time-dependent solutions and the stationary patterns induced by diffusion (Turing patterns) are presented.

Citations

• Behavioral decisions made under the risk of predation: a review and prospectus
• Permanence in ecological systems with spatial heterogeneity

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