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Catastrophic extinction, noise-stabilized turbulence and unpredictability of competition in a modified Volterra–Lotka model (1996)

Goryachev, A. B. ; Polezhaev, A. A. ; Chernavskii, D. S.

Woodbury, NY : American Institute of Physics (AIP)

Chaos 6 (1996), S. 78-86

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ISSN: 1089-7682

Source: AIP Digital Archive

Topics: Physics

Notes: Spatial coexistence and competition among species is investigated through a modified Volterra–Lotka model which takes into account sexual breeding. This allows the population specific growth rate to depend on the population density. As a result of this modification the degeneracy inherent in the classical model is eliminated and qualitatively novel regimes are observed, as demonstrated by parametric analysis of the model. In the case where the corresponding parameters of competing species do not differ significantly the model can be reduced to a single Ginzburg–Landau type equation. The spatially distributed model is analyzed both in the absence and in the presence of noise mimicking inherent fluctuations in birth and death rates. It is shown that noise can qualitatively change the behavior of the system. Not only does it induce the formation of spatial patterns, but also switches on endless turbulent-like rearrangement of the system. When initially unpopulated habitat is occupied by competing species even a very low-intensity noise makes the final state of the system totally unpredictable and sensitive to any fluctuations. © 1996 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.166152

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Kinetics of formation of a diffusion layer on steel 38Kh2MYuA in gas-cyclic nitriding (1999)

Shashkov, D. P. ; Goryachev, A. B.

Springer

Metal science and heat treatment 41 (1999), S. 235-237

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ISSN: 1573-8973

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Abstract Results of a study of the effect of the cycle duration and the degree of dissociation of ammonia on the structure and properties of a nitrided layer on steel 38Kh2MYuA formed at a temperature of 570°C are presented.