Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey
We study a diffusive prey-predator system with a group defense for prey. Under Neumann boundary condition, we analyze local and stability of nonnegative constant steady states and the existence and nonexistence of nonconstant steady states. These results also exhibit the critical role of the system...
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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/10.1155/2018/6519696 |
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| _version_ | 1849397654500409344 |
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| author | Honglan Zhu Xuebing Zhang |
| author_facet | Honglan Zhu Xuebing Zhang |
| author_sort | Honglan Zhu |
| collection | DOAJ |
| description | We study a diffusive prey-predator system with a group defense for prey. Under Neumann boundary condition, we analyze local and stability of nonnegative constant steady states and the existence and nonexistence of nonconstant steady states. These results also exhibit the critical role of the system parameters leading to the formation of spatiotemporal patterns. |
| format | Article |
| id | doaj-art-acb8ce27d6b64b1cac91b12dc53a70cf |
| 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-acb8ce27d6b64b1cac91b12dc53a70cf2025-08-20T03:38:55ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/65196966519696Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for PreyHonglan Zhu0Xuebing Zhang1Business School, Huaiyin Institute of Technology, Huaian, ChinaCollege of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, ChinaWe study a diffusive prey-predator system with a group defense for prey. Under Neumann boundary condition, we analyze local and stability of nonnegative constant steady states and the existence and nonexistence of nonconstant steady states. These results also exhibit the critical role of the system parameters leading to the formation of spatiotemporal patterns.http://dx.doi.org/10.1155/2018/6519696 |
| spellingShingle | Honglan Zhu Xuebing Zhang Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey Discrete Dynamics in Nature and Society |
| title | Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey |
| title_full | Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey |
| title_fullStr | Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey |
| title_full_unstemmed | Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey |
| title_short | Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey |
| title_sort | dynamics and patterns of a diffusive prey predator system with a group defense for prey |
| url | http://dx.doi.org/10.1155/2018/6519696 |
| work_keys_str_mv | AT honglanzhu dynamicsandpatternsofadiffusivepreypredatorsystemwithagroupdefenseforprey AT xuebingzhang dynamicsandpatternsofadiffusivepreypredatorsystemwithagroupdefenseforprey |