A Study on Mathematical Modeling of India's Population Growth

Abstract

The goal of this research is to use several mathematical models to create a quantitative method for forecasting population growth. Difference equation models, sometimes known as "finite population models," have been the main application of population growth curves in recent years. Compared to the integrated versions of these models, these models might offer a slightly greater range of applications and theoretical possibilities. There are concerns over the difference equation versions' applicability in practice, though, as the integrated versions that are currently available seem to fit actual growth curve data somewhat better. In this research, we thus study several integrated and difference equation models. Although its scope has expanded recently, it is the study of long-term and marginal changes in the number of individuals in one or the other, individual weight, and age structure, with a history spanning more than 220 years. In the study of population dynamics and issues in the ecological and environmental sciences, mathematical and computational methods offer strong instruments and methods. The topic has a long history and is linked to dynamical system theory and development statistics. These mathematical and computational methods are today thought to be the most effective means of teaching natural phenomena. An interest in the study of survival and interactions between live organisms and their surroundings has been sparked by these methods, which have been widely used and have offered a framework for the synthesis and analysis of such biological models.