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THE PROPAGATION OF TRAVELING WAVES FOR STOCHASTIC GENERALIZED KPP EQUATIONS

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UNSPECIFIED (1994) THE PROPAGATION OF TRAVELING WAVES FOR STOCHASTIC GENERALIZED KPP EQUATIONS. MATHEMATICAL AND COMPUTER MODELLING, 20 (4-5). pp. 131-166. ISSN 0895-7177

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Abstract

We study the existence and propagation of approximate travelling waves of generalized KPP equations with seasonal multiplicative white noise perturbations of Ito type. Three regimes of perturbation are considered: weak, mild, and strong. We show that weak perturbations have little effect on the wave-like solutions of the unperturbed equations, while strong perturbations essentially destroy the wave and force the solutions to die down. For mild perturbations, we show that there is a residual wave form but propagating at a different speed to that of the unperturbed equation. In the Appendix, J. G. Gaines illustrates these different regimes by computer simulations.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
Journal or Publication Title: MATHEMATICAL AND COMPUTER MODELLING
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
ISSN: 0895-7177
Date: August 1994
Volume: 20
Number: 4-5
Number of Pages: 36
Page Range: pp. 131-166
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/20366

Data sourced from Thomson Reuters' Web of Knowledge

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