# Asymptotic behavior of traveling waves for non-quasi-monotone system with delay

Volume 25, Issue 1, pp 23--28
Publication Date: May 04, 2021 Submission Date: December 30, 2020 Revision Date: March 30, 2021 Accteptance Date: March 31, 2021
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### Authors

Yong-Hui Zhou - School of Mathematics and Statistics, HeXi University, Zhangye, Gansu 734000, P. R. China. Wen-Di Li - School of Mathematics and Statistics, HeXi University, Zhangye, Gansu 734000, P. R. China. Yan-Ru Che - School of Mathematics and Statistics, HeXi University, Zhangye, Gansu 734000, P. R. China.

### Abstract

This paper is concerned with a population dynamic model with delay. In this work, by rewriting the equation and using the Ikehara's theorem, we show the exact asymptotic behavior of the profile as $\xi\rightarrow$-$\infty$ for critical speed.

### Share and Cite

##### ISRP Style

Yong-Hui Zhou, Wen-Di Li, Yan-Ru Che, Asymptotic behavior of traveling waves for non-quasi-monotone system with delay, Journal of Mathematics and Computer Science, 25 (2022), no. 1, 23--28

##### AMA Style

Zhou Yong-Hui, Li Wen-Di, Che Yan-Ru, Asymptotic behavior of traveling waves for non-quasi-monotone system with delay. J Math Comput SCI-JM. (2022); 25(1):23--28

##### Chicago/Turabian Style

Zhou, Yong-Hui, Li, Wen-Di, Che, Yan-Ru. "Asymptotic behavior of traveling waves for non-quasi-monotone system with delay." Journal of Mathematics and Computer Science, 25, no. 1 (2022): 23--28

### Keywords

• Traveling waves
• Ikehara's theorem
• asymptotic behavior

•  34K18
•  37G10
•  37G05

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