Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species
A diffusive predator-prey system with disease in predator species and no-flux boundary condition is considered. Sufficient conditions which ensure persistence of the system are obtained. Conditions of disease-free ecosystem are also studied. Furthermore, sufficient conditions for global asymptotic s...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/236208 |
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| _version_ | 1832562485257830400 |
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| author | Meihong Qiao Anping Liu Urszula Foryś |
| author_facet | Meihong Qiao Anping Liu Urszula Foryś |
| author_sort | Meihong Qiao |
| collection | DOAJ |
| description | A diffusive predator-prey system with disease in predator species and no-flux boundary condition is considered. Sufficient conditions which ensure persistence of the system are obtained. Conditions of disease-free ecosystem are also studied. Furthermore, sufficient conditions for global asymptotic stability of the unique positive equilibrium and disease-free equilibrium of the system are derived using the approach of Lyapunov function. |
| format | Article |
| id | doaj-art-96a43ad1279d48feb8a909aa9d81e34d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-96a43ad1279d48feb8a909aa9d81e34d2025-02-03T01:22:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/236208236208Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey SpeciesMeihong Qiao0Anping Liu1Urszula Foryś2School of Mathematics & Physics, China University of Geoscience, Wuhan 430074, Hubei Province, ChinaSchool of Mathematics & Physics, China University of Geoscience, Wuhan 430074, Hubei Province, ChinaInstitute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics, & Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, PolandA diffusive predator-prey system with disease in predator species and no-flux boundary condition is considered. Sufficient conditions which ensure persistence of the system are obtained. Conditions of disease-free ecosystem are also studied. Furthermore, sufficient conditions for global asymptotic stability of the unique positive equilibrium and disease-free equilibrium of the system are derived using the approach of Lyapunov function.http://dx.doi.org/10.1155/2014/236208 |
| spellingShingle | Meihong Qiao Anping Liu Urszula Foryś Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species Journal of Applied Mathematics |
| title | Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species |
| title_full | Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species |
| title_fullStr | Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species |
| title_full_unstemmed | Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species |
| title_short | Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species |
| title_sort | qualitative analysis for a reaction diffusion predator prey model with disease in the prey species |
| url | http://dx.doi.org/10.1155/2014/236208 |
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