The Stationary Distribution and Extinction of Generalized Multispecies Stochastic Lotka-Volterra Predator-Prey System

Abstract EN

This paper is concerned with the existence of stationary distribution and extinction for multispeciesstochastic Lotka-Volterra predator-prey system.

The contributions of this paper are as follows.

(a) Byusing Lyapunov methods, the sufficient conditions on existence of stationary distribution and extinctionare established.

(b) By using the space decomposition technique and the continuity of probability, weakerconditions on extinction of the system are obtained.

Finally, a numerical experiment is conducted tovalidate the theoretical findings.