Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response
By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley-Holling III type functional response are obtained. An example toget...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/393729 |
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| _version_ | 1832566716623749120 |
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| author | Runxin Wu Lin Li |
| author_facet | Runxin Wu Lin Li |
| author_sort | Runxin Wu |
| collection | DOAJ |
| description | By constructing a suitable Lyapunov function and
using the comparison theorem of difference equation, sufficient
conditions which ensure the permanence and global attractivity of
the discrete predator-prey system with Hassell-Varley-Holling III type
functional response are obtained. An example together with its
numerical simulation shows that the main results are verifiable. |
| format | Article |
| id | doaj-art-dcf1ec0eb0ea443686fdc15eac776120 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-dcf1ec0eb0ea443686fdc15eac7761202025-02-03T01:03:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/393729393729Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional ResponseRunxin Wu0Lin Li1Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, ChinaDepartment of Mathematics and Physics, Fujian University of Technology, Fuzhou, Fujian 350108, ChinaBy constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the discrete predator-prey system with Hassell-Varley-Holling III type functional response are obtained. An example together with its numerical simulation shows that the main results are verifiable.http://dx.doi.org/10.1155/2013/393729 |
| spellingShingle | Runxin Wu Lin Li Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response Discrete Dynamics in Nature and Society |
| title | Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response |
| title_full | Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response |
| title_fullStr | Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response |
| title_full_unstemmed | Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response |
| title_short | Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response |
| title_sort | permanence and global attractivity of the discrete predator prey system with hassell varley holling iii type functional response |
| url | http://dx.doi.org/10.1155/2013/393729 |
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