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Numerical Simulations of Food-Chain Populations by the Lattice Boltzmann Method
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 4
- DOI:
- 10.3969/j.issn.1001-9626.2007.04.003
- Key Word:
- 反应-扩散方程组;格子Boltzmann方法;D2Q5模型;极值原理;稳定性;Reaction-diffusion equations;Lattice Boltzmann method;D2Q5 model;Stability
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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