Principle of Physics and Total Fertility Rate

Some social phenomenon were analysed by physicists using tools from core field of physics and the area of this type of study sometimes called socio-physics and econo-physics. Most of the work has appeared in physics journals. In the present paper an attempt has been made to develop this type of work in the field of demography. The focus is on the application of a differential equation model, to the study of the long term trend in level of fertility and infant mortality. The model is found to provide an excellent fit to the data, indicates that the trend is an exponential growth trend. Correlation and root mean squared error reveals that the estimated value has good agreement with the observed value. The model has been also used for prediction purpose.