Pattern Formation in Tri-Trophic Ratio-Dependent Food Chain Model

• 作者: Dawit Melese Sunita Gakkhar
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: REACTION-DIFFUSION Equations HOPF Bifurcation TURING Instability TURING Pattern Food Chain
• 年，卷（期）: yysxyw_2011,（12）
• 页码范围: 1507-1514
• 页数: 8页
• 分类号: O1

摘要

In this paper, a spatial tri-trophic food chain model with ratio-dependent Michaelis-Menten type functional response under homogeneous Neumann boundary conditions is studied. Conditions for Hopf and Turing bifurcation are derived. Sufficient conditions for the emergence of spatial patterns are obtained. The results of numerical simulations reveal the formation of labyrinth patterns and the coexistence of spotted and stripe-like patterns.