Homotopy Analysis Method for Solving Biological Population Model

• 来源期刊: 理论物理通讯：英文版
• 学科: 化学
• 关键词: 生物种群模型 同伦分析 数值结果 应用程序 HAM 衍生物 基本解 吸引力
• 年，卷（期）: 2011,（11）
• 页码范围: 797-800
• 页数: 4页
• 分类号: O636.1|Q141
• 语种: 英文

摘要

In this paper, the homotopy analysis method （HAM） is applied to solve generalized biological population models. The fractional derivatives are described by Caputo＇s sense. The method introduces a significant improvement in this field over existing techniques. Results obtained using the scheme presented here agree well with the analytical solutions and the numerical results presented in Ref [6]. However, the fundamental solutions of these equations still exhibit useful scaling properties that make them attractive for applications.