华东师范大学学报(自然科学版) ›› 2008, Vol. 2008 ›› Issue (2): 48-52.

• 环境科学 • 上一篇    下一篇

一类二物种生态模型的同伦分析解法

吴自库1,刘志亮2   

  1. 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
  • 收稿日期:2007-09-19 修回日期:2007-10-23 出版日期:2008-03-25 发布日期:2008-03-25
  • 通讯作者: 吴自库

Homotopy analytic solution to a kind of two species ecological model(Chinese)

WU Zi-ku1, LIU Zhi-liang2   

  1. 1. School of Science, Qingdao Agriculture University, Qingdao Shandong 266109,China; 2. Institute of Oceanology, Chinese Academy of Science, Qingdao Shandong 266071,China
  • Received:2007-09-19 Revised:2007-10-23 Online:2008-03-25 Published:2008-03-25
  • Contact: WU Zi-ku

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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.

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

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.

Key words: homotopy analysis, nonlinear, ecological model, homotopy analysis, nonlinear

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