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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 | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics |
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Journal or Publication Title: | MATHEMATICAL AND COMPUTER MODELLING | ||||
Publisher: | PERGAMON-ELSEVIER SCIENCE LTD | ||||
ISSN: | 0895-7177 | ||||
Official Date: | August 1994 | ||||
Dates: |
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Volume: | 20 | ||||
Number: | 4-5 | ||||
Number of Pages: | 36 | ||||
Page Range: | pp. 131-166 | ||||
Publication Status: | Published |
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