Population Dynamical Behavior of Non-autonomous Lotka-volterra Competitive System with Random Perturbation
نویسندگان
چکیده
In this paper, we consider a non-autonomous stochastic LotkaVolterra competitive system dxi(t) = xi(t)[(bi(t)− n ∑ j=1 aij(t)xj(t))dt+σi(t)dBi(t)], where Bi(t) (i = 1, 2, · · · , n) are independent standard Brownian motions. Some dynamical properties are discussed and the sufficient conditions for the existence of global positive solutions, stochastic permanence, extinction as well as global attractivity are obtained. In addition, the limit of the average in time of the sample paths of solutions is estimated.
منابع مشابه
Soochow Journal of Mathematics
In recent years, non-autonomous delay differential equations have been used in the study of population dynamics, ecology and epidemic. Among those equations, a famous model for population is the Lotka-Volterra competition system. Due to the various seasonal effects present in real life situation, it is reasonable and practical to study the Lotka-Volterra competition system with periodic coeffic...
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