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Asymptotic stability of monostable wavefronts in discrete-time integral recursions |
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| Authors: | LIN Guo LI WanTong & RUAN ShiGui School of Mathematics Statistics Lanzhou University Lanzhou China |
| Institution: | LIN Guo1,LI WanTong1 & RUAN ShiGui2 1School of Mathematics , Statistics,Lanzhou University,Lanzhou 730000,China,2Department of Mathematics,University of Miami,P.O.Box 249085,Coral Gables,FL 33124-4250,USA |
| Abstract: | The aim of this work is to study the traveling wavefronts in a discrete-time integral recursion with a Gauss kernel in R2.We first establish the existence of traveling wavefronts as well as their precise asymptotic behavior.Then,by employing the comparison principle and upper and lower solutions technique,we prove the asymptotic stability and uniqueness of such monostable wavefronts in the sense of phase shift and circumnutation.We also obtain some similar results in R. |
| Keywords: | discrete-time integral recursion comparison principle upper and lower solutions monostable wave stability |
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