Mathematical model of population dynamics and growth in India

Generally, Human population dynamics is a track factors related to changes in population such as fertility rate and life expectancy. Ancient India in 300 BC may have a population in the range 100–140 million. It has been estimated that the population was about 100 million in 1600 and remained nearly static until the late 19th century. It reached 255 million according to the first census taken in 1881. Studies of India's population since 1881 have focused on such topics as total population, birth and death rates, growth rates, the rural and urban divide, cities of a million, and the three cities with populations over eight million: Delhi, Greater Mumbai, and Kolkata. Mortality rates fell in the period 1920–45, primarily due to biological. India occupies 2.4% of the world's land area but supports over 17.5% of the world's population. In the present paper we have study to mathematical model of population growth in India by using Logistic model. Population of India has been used ordinary differential equation model known as logistic population model which is parameterized by growth rate along with capacity human population of India. First we test the numerical method for India population data (1981–2013) and we find our population which is very good fit with the population data.