摘要
通过引入适当的辅助线性算子与同伦算子,本文利用同伦分析法研究一类Lotka-Volterra模型的周期轨道及其周期的近似问题,获得了该模型的周期轨道及其周期的解析近似表达式.所得的结果与数值积分结果比较表明:对于Lotka-Volterra模型,同伦分析的解析结果具有较高的精度,即使对于大振幅情形.
By introducing suitable auxiliary linear operators and homotopy operators, analytical approximate expressions of the periodic solutions and their period in a Lotka-Volterra model are obtained by using the homotopy analysis method. Comparisons with the numerical integration results show that the analytical results of homotopy analysis method are quite accurate, even for the large amplitude ones.
出处
《漳州师范学院学报(自然科学版)》
2011年第4期11-16,共6页
Journal of ZhangZhou Teachers College(Natural Science)
基金
福建省教育厅A类项目(JA10065)