Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes
In this paper, the spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with prey refuge are investigated analytically and numerically. Mathematical theoretical works have considered the existence of global solutions, population permanence and the stability of equilibrium points,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2013-06-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/15/6/2431 |
| _version_ | 1811302112046350336 |
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| author | Hengguo Yu Min Zhao Jianglin Zhao |
| author_facet | Hengguo Yu Min Zhao Jianglin Zhao |
| author_sort | Hengguo Yu |
| collection | DOAJ |
| description | In this paper, the spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with prey refuge are investigated analytically and numerically. Mathematical theoretical works have considered the existence of global solutions, population permanence and the stability of equilibrium points, which depict the threshold expressions of some critical parameters. Numerical simulations are performed to explore the pattern formation of species. These results show that the prey refuge has a profound effect on predator-prey interactions and they have the potential to be useful for the study of the entropy theory of bioinformatics. |
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| format | Article |
| id | doaj.art-30302c101ce34400b6d2e272acb32324 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T07:22:12Z |
| publishDate | 2013-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-30302c101ce34400b6d2e272acb323242022-12-22T02:56:35ZengMDPI AGEntropy1099-43002013-06-011562431244710.3390/e15062431Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III SchemesHengguo YuMin ZhaoJianglin ZhaoIn this paper, the spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with prey refuge are investigated analytically and numerically. Mathematical theoretical works have considered the existence of global solutions, population permanence and the stability of equilibrium points, which depict the threshold expressions of some critical parameters. Numerical simulations are performed to explore the pattern formation of species. These results show that the prey refuge has a profound effect on predator-prey interactions and they have the potential to be useful for the study of the entropy theory of bioinformatics.http://www.mdpi.com/1099-4300/15/6/2431diffusive predator-prey systemLeslie-GowerHolling type III schemesrefugestabilitypattern formation |
| spellingShingle | Hengguo Yu Min Zhao Jianglin Zhao Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes Entropy diffusive predator-prey system Leslie-Gower Holling type III schemes refuge stability pattern formation |
| title | Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes |
| title_full | Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes |
| title_fullStr | Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes |
| title_full_unstemmed | Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes |
| title_short | Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes |
| title_sort | effect of prey refuge on the spatiotemporal dynamics of a modified leslie gower predator prey system with holling type iii schemes |
| topic | diffusive predator-prey system Leslie-Gower Holling type III schemes refuge stability pattern formation |
| url | http://www.mdpi.com/1099-4300/15/6/2431 |
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