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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Existence of traveling wave fronts
in delayed reaction-diffusion systems
via the monotone iteration method


Authors: Xingfu Zou and Jianhong Wu
Journal: Proc. Amer. Math. Soc. 125 (1997), 2589-2598
MSC (1991): Primary 34K10, 35K10, 35K55
DOI: https://doi.org/10.1090/S0002-9939-97-04080-X
MathSciNet review: 1415345
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Abstract: The monotone iteration method is employed to establish the existence of traveling wave fronts in delayed reaction-diffusion systems with monostable nonlinearities.


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Additional Information

Xingfu Zou
Affiliation: Department of Mathematics and Statistics, York University, North York, Ontario, Canada M3J 1P3
Address at time of publication: Department of Mathematics and Statistics, University of Victoria, British Columbia, Canada V8W 3P4
Email: xzou@mathstat.yorku.ca, xzou@math.uvic.ca

Jianhong Wu
Affiliation: Department of Mathematics and Statistics, York University, North York, Ontario, Canada M3J 1P3
Email: wujh@mathstat.yorku.ca

DOI: https://doi.org/10.1090/S0002-9939-97-04080-X
Keywords: Reaction-diffusion equations, traveling wave fronts, monotone iteration
Received by editor(s): January 24, 1996
Additional Notes: This research was partially supported by the Natural Sciences and Engineering Research Council of Canada
Communicated by: Hal L. Smith
Article copyright: © Copyright 1997 American Mathematical Society