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Analysis of Exponential and Hyperbolic Growth Models of Population Dynamics Applied to Indian Population Growth

Abstract

 India is a country that occupies the greater part of South Asia. India lies on the Indian Plate, the northern part of the Indo-Australian Plate, whose continental crust forms the Indian subcontinent. It has an area of 3,287,263 square kilometers. With roughly one-sixth of the world’s total population, India is the second most populous country, after China. Using only two data points, an exponential growth population model applied to Indian population is developed and used both to project future population of India and compare to past population data of India. A hyperbolic growth model for Indian population is then developed, and its fits to prior population data are compared with the exponential model. Expressions for doubling times are derived from both models and compared to real data.

Muthukamalam MS 

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