Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator
The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained. Local and global stability of the positive equilibrium and Turin...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/984960 |
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| _version_ | 1832561959281623040 |
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| author | Xiaoqin Wang Yongli Cai Huihai Ma |
| author_facet | Xiaoqin Wang Yongli Cai Huihai Ma |
| author_sort | Xiaoqin Wang |
| collection | DOAJ |
| description | The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained. Local and global stability of the positive equilibrium and Turing instability are studied. With the help of the numerical simulations, the rich Turing patterns, including holes, stripes, and spots patterns, are obtained. |
| format | Article |
| id | doaj-art-112480d97c044260b4f81a49700f8fa9 |
| 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-112480d97c044260b4f81a49700f8fa92025-02-03T01:23:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/984960984960Dynamics of a Diffusive Predator-Prey Model with Allee Effect on PredatorXiaoqin Wang0Yongli Cai1Huihai Ma2Faculty of Science, Shaanxi University of Science and Technology, Xi'an, Shaanxi 710021, ChinaSchool of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, ChinaCollege of Electrical and Information Engineering, Shaanxi University of Science and Technology, Xi'an, Shaanxi 710021, ChinaThe reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained. Local and global stability of the positive equilibrium and Turing instability are studied. With the help of the numerical simulations, the rich Turing patterns, including holes, stripes, and spots patterns, are obtained.http://dx.doi.org/10.1155/2013/984960 |
| spellingShingle | Xiaoqin Wang Yongli Cai Huihai Ma Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator Discrete Dynamics in Nature and Society |
| title | Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator |
| title_full | Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator |
| title_fullStr | Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator |
| title_full_unstemmed | Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator |
| title_short | Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator |
| title_sort | dynamics of a diffusive predator prey model with allee effect on predator |
| url | http://dx.doi.org/10.1155/2013/984960 |
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