Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle

Luping Li, Shugui Kang, Lili Kong and Huiqin Chen
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Luping Li: School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China
Shugui Kang: School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China
Lili Kong: School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China
Huiqin Chen: School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China

Mathematics, 2019, vol. 7, issue 7, 1-11

Abstract: We investigate the traveling wave solutions of a competitive integrodifference system without comparison principle. In the earlier conclusions, a threshold of wave speed is defined while the existence or nonexistence of traveling wave solutions remains open when the wave speed is the threshold. By constructing generalized upper and lower solutions, we confirm the existence of traveling wave solutions when the wave speed is the threshold. Our conclusion completes the known results and shows the different decay behavior of traveling wave solutions compared with the case of large wave speeds.

Keywords: upper-lower solutions; non-monotone system; minimal wave speed (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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