Stability and Hopf bifurcation analysis for the diffusive delay logistic population model with spatially heterogeneous environment
作者：
Highlights：
• The Galerkin method is a useful technique that provides an accurate calculation.
• Constructing the full map diagrams of the stability regions of Hopf points.
• Determining the effect the proliferation, diffusion and delay parameters.
• Providing examples of 2D phase plane for the analytical and numerical schemes.
• Obtaining the asymptotic result near a Hopf point using Lindstedt–Poincaré technique.
摘要
•The Galerkin method is a useful technique that provides an accurate calculation.•Constructing the full map diagrams of the stability regions of Hopf points.•Determining the effect the proliferation, diffusion and delay parameters.•Providing examples of 2D phase plane for the analytical and numerical schemes.•Obtaining the asymptotic result near a Hopf point using Lindstedt–Poincaré technique.
论文关键词：Delay logistic equation,Hopf bifurcation,Stability theory,Reaction-diffusion system,Lindstedt–Poincaré method,Spatial heterogeneity environments
论文评审过程：Received 30 November 2020, Revised 19 April 2021, Accepted 5 May 2021, Available online 26 May 2021, Version of Record 26 May 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126362
