Global asymptotic stability of a Lotka-Volterra competition model with stochasticity in inter-specific competition

摘要

In the paper we first propose a two-species Lotka-Volterra competition model with the stochastic terms related to the inter-specific competition rates and the coexistence equilibrium of the deterministic model. Then we establish the global asymptotic stability of the coexistence equilibrium. Finally, we provide some discussions and numerical examples to illustrate our mathematical results. (C) 2018 Elsevier Ltd. All rights reserved.