Dynamics and pattern formation in a diffusive Beddington-DeAngelis predator-prey model with fear effect
Aung Zaw Myint, Aye Chan May, Mya Hnin Lwin, Toe Toe Shwe, Adisak Seesanea
TL;DR
This paper investigates the dynamics and pattern formation in a predator-prey model incorporating fear effects and Beddington-DeAngelis functional response, focusing on steady states, diffusion effects, and Turing patterns.
Contribution
It introduces a diffusive predator-prey model with fear effects and analyzes its dynamical properties and pattern formation mechanisms.
Findings
Identification of conditions for positive steady states
Analysis of Turing pattern formation due to diffusion
Insights into the impact of fear effect on predator-prey dynamics
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.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Dynamics and Pattern Formation · Mathematical Biology Tumor Growth