Proportional stochastic generalized Lotka-Volterra model with an application to learning microbial community structures

Libai Xu, Dehan Kong, Lidan Wang, Hong Gu, Toby Kenney, Ximing Xu

Abstract: Highlights•A new proportional stochastic generalized Lotka–Volterra model is proposed.•We systematically analyze the properties of the dynamic structure of ecosystems.•The asymptotic normality of the developed approximate estimators is studied.•The proposed approach is demonstrated through simulated and real microbial datasets.