Non Linear Programming Problems in Population Projection

This paper, Non linear programming problem in population projection is aim to derive a population model relating to the birth rate to a stable age distribution and a stable rate of population growth. It is assume that changes in the female and male population structure are consistent with the assumption of constant birth rate mi we consider a population of females at discrete intervals and break the population into k age groups corresponding to unit intervals of time. The system of linear difference equation is derive and non-linear programming problem was formulated to determine the birth rate that minimizing the sum of the cost due to changing in the current birth rate and the cost associated with resulting age distribution. Keywords- Nonlinear, population Growth, projection Age