Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology

• 作者: Manoj P. Tripathi Om. P. Singh Ram K. Pandey Vipul K. Baranwal
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Age-Structured POPULATION MODELS POPULATION Dynamics SIS EPIDEMIC MODELS Adomian Decomposition Method HOMOTOPY Perturbation and HOMOTOPY Analysis Methods
• 年，卷（期）: 2011,（4）
• 页码范围: 236-247
• 页数: 12页
• 分类号: O1

摘要

Three analytic algorithms based on Adomian decomposition, homotopy perturbation and homotopy analysis methods are proposed to solve some models of nonlinear age-structured population dynamics and epidemiology. Truncating the resulting convergent infinite series, we obtain numerical solutions of high accuracy for these models. Three numerical examples are given to illustrate the simplicity and accuracy of the methods.