Numerical and Analtyical Solutions of a Model of Population Dynamics

Abstract

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.