Coexistence and exclusion of stochastic competitive Lotka–Volterra models

By Dang Hai Nguyen, George Yin. 2016

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Abstract This work derives sufficient conditions for the coexistence and exclusion of a stochastic competitive Lotka–Volterra model. The conditions obtained are close to necessary. In addition, convergence in distribution of positive solutions of the model is also established. A number of numerical examples are given to illustrate our results.

Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/80a607e953e1d4b457ce5262f14f387793be04fe