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<p>In this paper, the authors consider the steady state classification problem of the Allee effect system for multiple tribes. First, the authors reduce the high-dimensional model into several two-dimensional and three-dimensional algebraic systems such that the authors can prove a comprehensive formula of the border polynomial for arbitrary dimension. Then, the authors propose an efficient algorithm for classifying the generic parameters according to the number of steady states, and successfully complete the computation for up to the seven-dimensional Allee effect system.</p>

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Steady State Classification of Allee Effect System

  • 期刊论文

  • 发表日期：

    2026年7月21日

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  • Kuo Song,
  • Xiaoxian Tang

摘要

In this paper, the authors consider the steady state classification problem of the Allee effect system for multiple tribes. First, the authors reduce the high-dimensional model into several two-dimensional and three-dimensional algebraic systems such that the authors can prove a comprehensive formula of the border polynomial for arbitrary dimension. Then, the authors propose an efficient algorithm for classifying the generic parameters according to the number of steady states, and successfully complete the computation for up to the seven-dimensional Allee effect system.