A Lyapunov Function and Global Stability for a Class of Predator-Prey Models
We construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/218785 |
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| _version_ | 1832553395604422656 |
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| author | Xiaoqin Wang Huihai Ma |
| author_facet | Xiaoqin Wang Huihai Ma |
| author_sort | Xiaoqin Wang |
| collection | DOAJ |
| description | We construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used. |
| format | Article |
| id | doaj-art-5a6e974c5eb24366a30d78c793bdbdad |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5a6e974c5eb24366a30d78c793bdbdad2025-02-03T05:54:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/218785218785A Lyapunov Function and Global Stability for a Class of Predator-Prey ModelsXiaoqin Wang0Huihai Ma1Faculty of Science, Shaanxi University of Science and Technology, Xi'an 710021, ChinaCollege of Electrical and Information Engineering, Shaanxi University of Science and Technology, Xi'an 710021, ChinaWe construct a new Lyapunov function for a class of predation models. Global stability of the positive equilibrium states of these systems can be established when the Lyapunov function is used.http://dx.doi.org/10.1155/2012/218785 |
| spellingShingle | Xiaoqin Wang Huihai Ma A Lyapunov Function and Global Stability for a Class of Predator-Prey Models Discrete Dynamics in Nature and Society |
| title | A Lyapunov Function and Global Stability for a Class of Predator-Prey Models |
| title_full | A Lyapunov Function and Global Stability for a Class of Predator-Prey Models |
| title_fullStr | A Lyapunov Function and Global Stability for a Class of Predator-Prey Models |
| title_full_unstemmed | A Lyapunov Function and Global Stability for a Class of Predator-Prey Models |
| title_short | A Lyapunov Function and Global Stability for a Class of Predator-Prey Models |
| title_sort | lyapunov function and global stability for a class of predator prey models |
| url | http://dx.doi.org/10.1155/2012/218785 |
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