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

Autor:	Kurushina, S. E., Maximov, V. V., Shapovalova, E. A., Romanovskii, Yu. M., Zavershinskii, I. P., Garipov, D. S.
Rok vydání:	2015
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
Popis:	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. Comment: 6 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.00263 Zobrazit plný text záznamu View this record from Arxiv