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| Spatial pattern formation of a ratio-dependent predator-prey model | |
| 引用本文： | 林望. Spatial pattern formation of a ratio-dependent predator-prey model[J]. 中国物理 B, 2010, 19(9): 90206-090206 |
| 作者姓名： | 林望 |
| 作者单位： | College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China |
| 基金项目： | Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. Y7080041). |
| 摘 要： | This paper presents a theoretical analysis of evolutionary process that involves organisms distribution and their interaction of spatially distributed population with diffusion in a Holling-III ratio-dependent predator-prey model, the sufficient conditions for diffusion-driven instability with Neumann boundary conditions are obtained. Furthermore, it presents novel numerical evidence of time evolution of patterns controlled by diffusion in the model, and finds that the model dynamics exhibits complex pattern replication, and the pattern formation depends on the choice of the initial conditions. The ideas in this paper may provide a better understanding of the pattern formation in ecosystems. |
| 关 键 词： | ratio-dependent predator-prey model Holling III functional response diffusion-driven instability pattern formation |
| 收稿时间： | 2009-10-28 |
Spatial pattern formation of a ratio-dependent predator—prey model |
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| Lin Wang. Spatial pattern formation of a ratio-dependent predator—prey model[J]. Chinese Physics B, 2010, 19(9): 90206-090206 | |
| Authors: | Lin Wang |
| Affiliation: | College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China |
| Abstract: | This paper presents a theoretical analysis of evolutionary process that involves organisms distribution and their interaction of spatially distributed population with diffusion in a Holling-III ratio-dependent predator--prey model, the sufficient conditions for diffusion-driven instability with Neumann boundary conditions are obtained. Furthermore, it presents novel numerical evidence of time evolution of patterns controlled by diffusion in the model, and finds that the model dynamics exhibits complex pattern replication, and the pattern formation depends on the choice of the initial conditions. The ideas in this paper may provide a better understanding of the pattern formation in ecosystems. |
| Keywords: | ratio-dependent predator--prey model Holling III functional response diffusion-driven instability pattern formation |
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