Abstract This paper focuses on investigating complete global topological classification of the three dimensional competitive Lotka-Volterra system with the identical intrinsic growth rate in the compactification of the positive octant of R 3 including its infinity. The system is divided into 37 topological classes among 33 stable nullcline classes by the relation on the parameters of competitive system.

中文翻译：

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具有相同内在增长率的 3D 竞争 Lotka-Volterra 方程的全局动态

摘要 本文重点研究了具有相同内在增长率的三维竞争 Lotka-Volterra 系统在 R 3 的正八分圆包括其无穷大的紧化中的完整全局拓扑分类。根据竞争系统参数的关系，将系统划分为33个稳定零线类中的37个拓扑类。