Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay
This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms. By constructing upper and lower solutions, we obtain the existence of traveling wave...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/4873803 |
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| _version_ | 1832565682683772928 |
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| author | Fuzhen Wu Dongfeng Li |
| author_facet | Fuzhen Wu Dongfeng Li |
| author_sort | Fuzhen Wu |
| collection | DOAJ |
| description | This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms. By constructing upper and lower solutions, we obtain the existence of traveling wave solutions when the wave speed is the minimal wave speed. Our results complete the known conclusions and show the precisely asymptotic behavior of traveling wave solutions. |
| format | Article |
| id | doaj-art-e0c8933a9e08443abca105f64866bb25 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e0c8933a9e08443abca105f64866bb252025-02-03T01:07:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/48738034873803Minimal Wave Speed in a Predator-Prey System with Distributed Time DelayFuzhen Wu0Dongfeng Li1Department of Basic, Zhejiang University of Water Resources and Electric Power, Hangzhou, Zhejiang 310018, ChinaDepartment of Basic, Zhejiang University of Water Resources and Electric Power, Hangzhou, Zhejiang 310018, ChinaThis paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms. By constructing upper and lower solutions, we obtain the existence of traveling wave solutions when the wave speed is the minimal wave speed. Our results complete the known conclusions and show the precisely asymptotic behavior of traveling wave solutions.http://dx.doi.org/10.1155/2018/4873803 |
| spellingShingle | Fuzhen Wu Dongfeng Li Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay Discrete Dynamics in Nature and Society |
| title | Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay |
| title_full | Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay |
| title_fullStr | Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay |
| title_full_unstemmed | Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay |
| title_short | Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay |
| title_sort | minimal wave speed in a predator prey system with distributed time delay |
| url | http://dx.doi.org/10.1155/2018/4873803 |
| work_keys_str_mv | AT fuzhenwu minimalwavespeedinapredatorpreysystemwithdistributedtimedelay AT dongfengli minimalwavespeedinapredatorpreysystemwithdistributedtimedelay |