Population dynamical behavior of Lotka–Volterra system under regime switching
نویسندگان
چکیده
منابع مشابه
Population dynamical behavior of Lotka-Volterra system under regime switching
In this paper, we investigate a Lotka-Volterra system under regime switching dx(t) = diag(x1(t), . . . , xn(t))[(b(r(t)) + A(r(t))x(t))dt+ σ(r(t))dB(t)], where B(t) is a standard Brownian motion. The aim here is to find out what happens under regime switching. We first obtain the sufficient conditions for the existence of global positive solutions, stochastic permanence, extinction. We find out...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.06.021