Hopf bifurcation in a memory-based diffusion predator-prey model with spatial heterogeneity

• Published in: Journal of Differential Equations Vol. 397; pp. 377 - 403
• Main Authors: Liu, Di, Jiang, Weihua
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.07.2024
• Subjects: Bifurcation; Memory-based diffusion; Non-constant steady-state; Non-homogeneous periodic solution; Spatial heterogeneity; Stability; Memory-based diffusion; Bifurcation; Spatial heterogeneity; Stability; Non-constant steady-state; Non-homogeneous periodic solution

In this paper, we present a memory-based diffusion predator-prey model that incorporates spatial heterogeneity and is subject to homogeneous Dirichlet boundary conditions. Prey species lack memory or cognitive abilities, exhibiting only random diffusion. In contrast, predators utilize memory-based s...