A Predator-Prey Model with Functional Response and Stage Structure for Prey
A predator-prey system with Holling type II functional response and stage structure for prey is presented. The local and global stability are studied by analyzing the associated characteristic transcendental equation and using comparison theorem. The existence of a Hopf bifurcation at the positive e...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/628103 |
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| _version_ | 1832553338573422592 |
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| author | Xiao-Ke Sun Hai-Feng Huo Xiao-Bing Zhang |
| author_facet | Xiao-Ke Sun Hai-Feng Huo Xiao-Bing Zhang |
| author_sort | Xiao-Ke Sun |
| collection | DOAJ |
| description | A predator-prey system with Holling type II functional response and stage structure for prey is presented. The local and global stability are studied by analyzing the associated characteristic transcendental equation and using comparison theorem. The existence of a Hopf bifurcation at the positive equilibrium is also studied. Some numerical simulations are also given to illustrate our results. |
| format | Article |
| id | doaj-art-82978f83446e497e843bc5bfd43a2507 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-82978f83446e497e843bc5bfd43a25072025-02-03T05:54:12ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/628103628103A Predator-Prey Model with Functional Response and Stage Structure for PreyXiao-Ke Sun0Hai-Feng Huo1Xiao-Bing Zhang2School of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu 741001, ChinaInstitute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaInstitute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaA predator-prey system with Holling type II functional response and stage structure for prey is presented. The local and global stability are studied by analyzing the associated characteristic transcendental equation and using comparison theorem. The existence of a Hopf bifurcation at the positive equilibrium is also studied. Some numerical simulations are also given to illustrate our results.http://dx.doi.org/10.1155/2012/628103 |
| spellingShingle | Xiao-Ke Sun Hai-Feng Huo Xiao-Bing Zhang A Predator-Prey Model with Functional Response and Stage Structure for Prey Abstract and Applied Analysis |
| title | A Predator-Prey Model with Functional Response and Stage Structure for Prey |
| title_full | A Predator-Prey Model with Functional Response and Stage Structure for Prey |
| title_fullStr | A Predator-Prey Model with Functional Response and Stage Structure for Prey |
| title_full_unstemmed | A Predator-Prey Model with Functional Response and Stage Structure for Prey |
| title_short | A Predator-Prey Model with Functional Response and Stage Structure for Prey |
| title_sort | predator prey model with functional response and stage structure for prey |
| url | http://dx.doi.org/10.1155/2012/628103 |
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