Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle
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 c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-06-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/7/7/571 |
| _version_ | 1828268086427385856 |
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| author | Luping Li Shugui Kang Lili Kong Huiqin Chen |
| author_facet | Luping Li Shugui Kang Lili Kong Huiqin Chen |
| author_sort | Luping Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T05:14:13Z |
| format | Article |
| id | doaj.art-e6a082fc05b04692b88bdf7893cbac96 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-13T05:14:13Z |
| publishDate | 2019-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e6a082fc05b04692b88bdf7893cbac962022-12-22T03:00:57ZengMDPI AGMathematics2227-73902019-06-017757110.3390/math7070571math7070571Minimal Wave Speed in a Competitive Integrodifference System without Comparison PrincipleLuping Li0Shugui Kang1Lili Kong2Huiqin Chen3School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, ChinaSchool of Mathematics and Statistics, Shanxi Datong University, Datong 037009, ChinaSchool of Mathematics and Statistics, Shanxi Datong University, Datong 037009, ChinaSchool of Mathematics and Statistics, Shanxi Datong University, Datong 037009, ChinaWe 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.https://www.mdpi.com/2227-7390/7/7/571upper-lower solutionsnon-monotone systemminimal wave speed |
| spellingShingle | Luping Li Shugui Kang Lili Kong Huiqin Chen Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle Mathematics upper-lower solutions non-monotone system minimal wave speed |
| title | Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle |
| title_full | Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle |
| title_fullStr | Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle |
| title_full_unstemmed | Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle |
| title_short | Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle |
| title_sort | minimal wave speed in a competitive integrodifference system without comparison principle |
| topic | upper-lower solutions non-monotone system minimal wave speed |
| url | https://www.mdpi.com/2227-7390/7/7/571 |
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