TITLE:
Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology
AUTHORS:
Vipul K. Baranwal, Ram K. Pandey, Manoj P. Tripathi, Om. P. Singh
KEYWORDS:
Age-Structured Population Models, Population Dynamics, SIS Epidemic Models, Adomian
Decomposition Method, Homotopy Perturbation and Homotopy Analysis Methods
JOURNAL NAME:
Journal of Modern Physics,
Vol.2 No.4,
April
22,
2011
ABSTRACT: 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.