Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure
A two-species predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and global stability of the system is investigated by strong upper and lower solutions. The asymptotic behavior of solutions and the negative...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/13948 |
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| _version_ | 1850218741865906176 |
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| author | Xinyu Song Zhihao Ge Jingang Wu |
| author_facet | Xinyu Song Zhihao Ge Jingang Wu |
| author_sort | Xinyu Song |
| collection | DOAJ |
| description | A two-species predator-prey system with diffusion term and stage
structure is discussed, local stability of the system is studied
using linearization method, and global stability of the system is
investigated by strong upper and lower solutions. The asymptotic
behavior of solutions and the negative effect of stage structure
on the permanence of populations are given. |
| format | Article |
| id | doaj-art-7a3ee6339c1145e2a7cfa6c086761d93 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7a3ee6339c1145e2a7cfa6c086761d932025-08-20T02:07:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/1394813948Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structureXinyu Song0Zhihao Ge1Jingang Wu2Department of Mathematics, Xinyang Normal University, Xinyang, Henan 464000, ChinaFaculty of Science, Xi'an Jiaotong University, Xi'an 710049, ChinaDepartment of Mathematics, Xinyang Normal University, Xinyang, Henan 464000, ChinaA two-species predator-prey system with diffusion term and stage structure is discussed, local stability of the system is studied using linearization method, and global stability of the system is investigated by strong upper and lower solutions. The asymptotic behavior of solutions and the negative effect of stage structure on the permanence of populations are given.http://dx.doi.org/10.1155/IJMMS/2006/13948 |
| spellingShingle | Xinyu Song Zhihao Ge Jingang Wu Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure International Journal of Mathematics and Mathematical Sciences |
| title | Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure |
| title_full | Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure |
| title_fullStr | Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure |
| title_full_unstemmed | Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure |
| title_short | Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure |
| title_sort | stability analysis of a ratio dependent predator prey system with diffusion and stage structure |
| url | http://dx.doi.org/10.1155/IJMMS/2006/13948 |
| work_keys_str_mv | AT xinyusong stabilityanalysisofaratiodependentpredatorpreysystemwithdiffusionandstagestructure AT zhihaoge stabilityanalysisofaratiodependentpredatorpreysystemwithdiffusionandstagestructure AT jingangwu stabilityanalysisofaratiodependentpredatorpreysystemwithdiffusionandstagestructure |