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<p>In this paper, we expand upon the exploration of a recent discrete Lotka-Volterra model, transitioning to a discrete three-dimensional community model. Our primary objective is to scrutinize the asymptotic behaviors of the equilibrium points, investigate their global characteristics, and evaluate the rate of convergence of potential solutions towards these points. Additionally, we bolster our theoretical insights with impactful numerical demonstrations, thereby reinforcing the reliability of our conclusions.</p>

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Exploring competitive, mutualistic, and other interactions in a discrete community model

  • 期刊论文

  • 发表日期：

    2025年1月3日

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  • Yacine Halim,
  • Asma Allam,
  • Michal Fečkan,
  • Ibtissem Redjam,
  • Mehmet Gümüş

摘要

In this paper, we expand upon the exploration of a recent discrete Lotka-Volterra model, transitioning to a discrete three-dimensional community model. Our primary objective is to scrutinize the asymptotic behaviors of the equilibrium points, investigate their global characteristics, and evaluate the rate of convergence of potential solutions towards these points. Additionally, we bolster our theoretical insights with impactful numerical demonstrations, thereby reinforcing the reliability of our conclusions.