Dynamics of a predator–prey model with nonlinear growth rate and B–D functional response

• Published in: Nonlinear analysis: real world applications Vol. 70; p. 103766
• Main Authors: Feng, Xiaozhou, Sun, Cong, Yang, Wenbin, Li, Changtong
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.04.2023
• Subjects: Existence; Numerical simulations; Positive solutions; Predator–prey diffusive model; Stability; Numerical simulations; Stability; Positive solutions; Predator–prey diffusive model; Existence

In this paper, a predator–prey diffusive model, subject to homogeneous Dirichlet boundary conditions, with Beddington–DeAngelis functional response and nonlinear growth rate on the predator is proposed and the well posedness of its solution is systematically studied. Taking the capture rate m as the...