Author(s)

Vipul K. Baranwal, Ram K. Pandey, Manoj P. Tripathi, Om. P. Singh

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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.

Age-Structured Population Models, Population Dynamics, SIS Epidemic Models, Adomian Decomposition Method, Homotopy Perturbation and Homotopy Analysis Methods

V. Baranwal, R. Pandey, M. Tripathi and O. Singh, "Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology," Journal of Modern Physics, Vol. 2 No. 4, 2011, pp. 236-247. doi: 10.4236/jmp.2011.24033.