Minimal Wave Speed in an Integrodifference System of Predator-Prey Type
This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/2704620 |
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| _version_ | 1832560340213170176 |
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| author | Baoju Sun Fuzhen Wu |
| author_facet | Baoju Sun Fuzhen Wu |
| author_sort | Baoju Sun |
| collection | DOAJ |
| description | This article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds. |
| format | Article |
| id | doaj-art-b567ad45598443a1b016ddb2d06f32ca |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b567ad45598443a1b016ddb2d06f32ca2025-02-03T01:27:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/27046202704620Minimal Wave Speed in an Integrodifference System of Predator-Prey TypeBaoju Sun0Fuzhen Wu1Key Laboratory for Technology in Rural Water Management of Zhejiang Province, Department of Basic, Zhejiang University of Water Resources and Electric Power Hangzhou, Zhejiang 310018, ChinaKey Laboratory for Technology in Rural Water Management of Zhejiang Province, Department of Basic, Zhejiang University of Water Resources and Electric Power Hangzhou, Zhejiang 310018, ChinaThis article studies the minimal wave speed of traveling wave solutions in an integrodifference predator-prey system that does not have the comparison principle. By constructing generalized upper and lower solutions and utilizing the theory of asymptotic spreading, we show the minimal wave speed of traveling wave solutions modeling the invasion process of two species by presenting the existence and nonexistence of nonconstant traveling wave solutions with any wave speeds.http://dx.doi.org/10.1155/2020/2704620 |
| spellingShingle | Baoju Sun Fuzhen Wu Minimal Wave Speed in an Integrodifference System of Predator-Prey Type Discrete Dynamics in Nature and Society |
| title | Minimal Wave Speed in an Integrodifference System of Predator-Prey Type |
| title_full | Minimal Wave Speed in an Integrodifference System of Predator-Prey Type |
| title_fullStr | Minimal Wave Speed in an Integrodifference System of Predator-Prey Type |
| title_full_unstemmed | Minimal Wave Speed in an Integrodifference System of Predator-Prey Type |
| title_short | Minimal Wave Speed in an Integrodifference System of Predator-Prey Type |
| title_sort | minimal wave speed in an integrodifference system of predator prey type |
| url | http://dx.doi.org/10.1155/2020/2704620 |
| work_keys_str_mv | AT baojusun minimalwavespeedinanintegrodifferencesystemofpredatorpreytype AT fuzhenwu minimalwavespeedinanintegrodifferencesystemofpredatorpreytype |