Huaqin Peng, Zhiming Guo, Zizi Wang
Abstract:
In this article, we study the existence of traveling wavefronts
for integrodifference equation with a bilateral exponential kernel,
namely, the Laplacian kernel. The existence of traveling wavefronts
is proved by combining the monotone iteration technique with the upper
and lower solution method. The minimal spreading speed c* is given,
which can be figured out exactly when all parameters are given explicitly
Submitted October 15, 2015. Published July 12, 2016.
Math Subject Classifications: 35C07, 39A12.
Key Words: Integrodifference equation; traveling wavefronts;
upper and lower solutions
Show me the PDF file (250 KB), TEX file for this article.
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Huaqin Peng School of Mathematics and Information Science Guangzhou University, Guangzhou 510006, China email: huaqinpeng@126.com |
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Zizi Wang Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong Higher Education Institutes, Guangzhou University Guangzhou 510006, China email: gdwangzizi@163.com |
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Zhiming Guo Key Laboratory of Mathematics and Interdisciplinary Science of Guangdong Higher Education Institutes, Guangzhou University Guangzhou 510006, China email: guozm@gzhu.edu.cn |
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