| 食物链种群模型的格子Boltzmann方法模拟 |
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| 引用本文： | 段雅丽,刘儒勋. 食物链种群模型的格子Boltzmann方法模拟[J]. 生物数学学报, 2007, 22(4): 591-598 |
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| 作者姓名： | 段雅丽 刘儒勋 |
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| 作者单位： | 中国科学技术大学,数学系,安徽,合肥,230026 |
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| 摘 要： | 用格子Boltzmann方法求解用反应一扩散方程组描述的食物链种群模型．我们用一维和二维方程组进行数值实验，模拟结果与现有的数值实验结果很好地吻合，反映了格子Boltzmann方法的高效性和稳定性,并就二维格子、Boltzmann格式，通过其等价的差分格式，由极值原理证明了该格式的稳定性．
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| 关 键 词： | 反应-扩散方程组 格子Boltzmann方法 D2Q5模型 极值原理 稳定性 |
| 文章编号： | 1001-9626（2007）04-0591-08 |
| 收稿时间： | 2005-06-30 |
| 修稿时间： | 2005-06-30 |
Numerical Simulations of Food-Chain Populations by the Lattice Boltzmann Method |
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| DUAN Ya-li,LIU Ru-xun. Numerical Simulations of Food-Chain Populations by the Lattice Boltzmann Method[J]. Journal of Biomathematics, 2007, 22(4): 591-598 |
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| Authors: | DUAN Ya-li LIU Ru-xun |
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| Abstract: | Lattice Boltzmann schemes for simulating food-chain populations described by the reaction-diffusion equations are investigated. Two examples, 1-D and 2-D systems, are made to show the efficiency and stability of this method. The numerical predictions are in good agreement with the available results. For the 2-D scheme, the maximum principle is proved and the stability is also obtained. |
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| Keywords: | Reaction-diffusion equations Lattice Boltzmann method D2Q5 model Stability |
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