Existence and nonexistence of monotone traveling waves for the delayed Fisher equation |
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Authors: | Man Kam Kwong |
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Affiliation: | a Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, SAR, China b Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, Canada A1C 5S7 |
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Abstract: | In this paper a new approach based on a shooting method in a half line coupled with the technique of upper-lower solution pair is used to study the existence and nonexistence of monotone waves for one form of the delayed Fisher equation that does not have the quasimonotonicity property. A necessary and sufficient condition is provided. This new method can be extended to investigate many other nonlocal and non-monotone delayed reaction-diffusion equations. |
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Keywords: | 35K55 34K15 |
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