Stochastic delay population dynamics under regime switching: Permanence and asymptotic estimation

Abstract

This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. Permanence and asymptotic estimations of solutions are investigated by virtue of V-function technique, M-matrix method, and Chebyshev's inequality. Finally, an example is given to illustrate the main results. © 2013 Zheng Wu et al.