| 一类二物种生态模型的同伦分析解法 |
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| 引用本文： | 吴自库,刘志亮. 一类二物种生态模型的同伦分析解法[J]. 华东师范大学学报(自然科学版), 2008, 2008(2): 48-52 |
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| 作者姓名： | 吴自库 刘志亮 |
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| 作者单位： | 1. 青岛农业大学,理学院,山东,青岛,266109
2. 中国科学院,海洋研究所,山东,青岛,266071 |
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| 基金项目： | 青岛农业大学高层次人才启动基金 |
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| 摘 要： | 利用同伦分析方法，研究了一类二物种生态模型，得到了该模型解的近似展开式.为检验该方法的有效性，分别在无竞争和有竞争系统中，将二阶近似解分别与解析解和数值解作了比较.比较结果表明，该方法用于生态模型研究可行.
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| 关 键 词： | 生态模型 同伦分析 非线性 生态模型 同伦分析 非线性 |
| 文章编号： | 1000-5641(2008)02-0048-05 |
| 收稿时间： | 2007-09-19 |
| 修稿时间： | 2007-09-01 |
Homotopy analytic solution to a kind of two species ecological model(Chinese) |
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| WU Zi-ku,LIU Zhi-liang. Homotopy analytic solution to a kind of two species ecological model(Chinese)[J]. Journal of East China Normal University(Natural Science), 2008, 2008(2): 48-52 |
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| Authors: | WU Zi-ku LIU Zhi-liang |
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| Affiliation: | 1. School of Science, Qingdao Agriculture University, Qingdao Shandong 266109,China; 2. Institute of Oceanology, Chinese Academy of Science, Qingdao Shandong 266071,China |
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| Abstract: | A kind of two species ecological model was considered in this paper. Using the me-thod of homotopy analysis, the approximation of the solution for the model was obtained.The approximationsolution was compared with the analytic solution and numerical solution in competitive system and free system, respectively. The result showed that the method is feasible for the ecological model studies. |
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| Keywords: | ecological model homotopy analysis nonlinear |
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