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

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.

preprint2015arXivOpen access
S. E. KurushinaV. V. MaximovE. A. ShapovalovaYu. M. RomanovskiiI. P. ZavershinskiiD. S. Garipov
nlin.PS
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Open access6 authors1 topic
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S. E. KurushinaV. V. MaximovE. A. ShapovalovaYu. M. RomanovskiiI. P. ZavershinskiiD. S. Garipov

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