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一类二物种生态模型的同伦分析解法

Homotopy analytic solution to a kind of two species ecological model
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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. A kind of two species ecological model was considered in this paper. Using the method of homotopy analysis, the approximation of the solution for the model was obtained. The approximation solution 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.
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第2期48-52,84,共6页 Journal of East China Normal University(Natural Science)
基金 青岛农业大学高层次人才启动基金(630627)
关键词 生态模型 同伦分析 非线性 ecological model homotopy analysis nonlinear
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