Deparment of Mathematics, Rabindranath Tagore University, Mendua, Post: Bhojpur, Near Bangrasiya Chouraha, Bhopal-Chiklod Road, Madhya Pradesh – 464993
Online published on 3 December, 2019.
In this research paper, we used mathematical models to foresee the population growth in India. India is the second most populated nation after China on the earth's planet with about a fifth of the total population [Wikipedia]. To expect the population growth in India from 1971 to 2055 by two mathematical models i.e., exponential and logistic. The information utilized was gathered from population pyramid.Net. It was examined sing MATLAB programming and it precisely fitted the logistic growth curve. The Exponential model predicts a development pace of 2.3% per annum and furthermore predicts the population to be 3826783879 in 2055. Population growth of any country relies upon the vital coefficients [from Malthus model]. We decided together the carrying capacity and the vital coefficients ‘a’ and ‘b’ are 0.02 and 3.0325769575. As per the Logistic model, the population distribution is 2% and target population is 2990164790 in 2055. We calculated the Mean Absolute Percentage Error (MAPE) for exponential and logistic model is 5.48% and 2.75% definitely.
Population growth, MAPE, Vital coefficients, Exponential growth model, Logistic growth model
