一类Lokta-Volterra生态模型的同伦分析解法  

Homotopy Analysis Solution to a Class of Lokta-Volterra Ecological Model

作　　者：吴自库[1] 

机构地区：[1]青岛农业大学理学院,山东青岛266109

出　　处：《河南科学》2008年第8期890-894,共5页Henan Science

基　　金：青岛农业大学高层次人才启动基金(630627);国家863计划(2007AA09Z118)

摘　　要：研究了一类Lokta-Volterra生态模型.利用同伦分析方法,得到了该模型解的近似展开式,并对近似解与数值解进行了比较.结果表明,近似解具有较高的精度,该方法用于这类生态模型研究可行.A class of Lokta-Volterra ecological model was considered. Using the method of homotopy analysis, the approximation of the solution for the model was obtained. And compared to the numerical solution, the approximation solution from the method was agreement well with the numerical solution. It shows the method is feasible to studying the ecological model.

关 键 词：生态模型 同伦分析 非线性 近似解 

分 类 号：O175.14[理学—数学]