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原文連結
論文資訊
- 類型：已發表論文
- 日期：2025-01-03
摘要
We study the large-time behavior of an ensemble of entities obeying replicator-like 隨機 dynamics with mean-field interactions as a model for a primordial 生態學. We prove the propagation-of-混沌 property and establish conditions for the strong persistence of the N-replicator system and the existence of invariant distributions for a class of associated McKean-Vlasov dynamics. In particular, our results show that, unlike typical models of neutral 生態學, fitness equivalence does not need to be assumed but emerges as a condition for the persistence of the system. Further, neutrality is associated with a unique Dirichlet invariant probability measure. We illustrate our findings with some simple case studies, provide numerical results, and discuss our conclusions in the light of Neutral Theory in 生態學.
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