Asymptotic behavior of a stochastic nonautonomous Lotka-Volterra competitive system with impulsive perturbations. (English) Zbl 1305.60046

Liu, Meng; Wang, Ke

Math. Comput. Modelling 57, No. 3-4, 909-925 (2013).

Summary: We are concerned with an nn-species stochastic nonautonomous Lotka-Volterra competitive system with impulsive effects. Some dynamical properties are investigated and the sufficient conditions for stochastic permanence, extinction and global stability are established. Moreover, the lower-growth rate and the upper-growth rate of the positive solution are studied. In addition, the limit of the average in time of the sample paths of solutions is estimated.

MSC:

60H10	Stochastic ordinary differential equations (aspects of stochastic analysis)
92D25	Population dynamics (general)
34F05	Ordinary differential equations and systems with randomness
34A37	Ordinary differential equations with impulses
34D05	Asymptotic properties of solutions to ordinary differential equations

Keywords:

competitive system; stochastic perturbations; impulsive effects; stochastic permanence; global attractivity