New noise-induced statistically steady state in the spatially extended competition model

Abstract

The influence of an external random field on the competition process in a nonlinear open spatially extended system is analyzed numerically. A three-component model is chosen as the competition model in which a "weak" species can move in space and the rate of the resource density growth fluctuates in space and in time [A.S. Mikhailov and I.V. Uporov, Usp. Sov. Phys. Usp. 27, 695 (1984)]. It is demonstrated that in addition to the noise-induced statistically steady state found by the authors [Sov. Phys. Usp. 27, 695 (1984)], in which both species can coexist, there exists another noise-induced statistically steady state, in which the "weak" species displaces the "strong" species, i.e. the "strong" species at an average asymptotically disappears.