Numerical and Analtyical Solutions of a Model of Population Dynamics

The study presents numerical and approximate analytical approximations to a model of population dynamics with unbounded mortality function. The mathematical model involves a nonlocal boundary condion. A finite difierence method is implemented for the numerical solution while the homotopy analysis method (HAM) is applied to obtain the approximate series solution. The HAM solution contains an auxiliary parameter which provides a convenient way of controlling the convergence region of series solution. Results are presented for typical test problem provided in literature. Comparison of the results of both methods show validity and eficiency of the methods