Application of Leslie Matrix Model in Human Population Dynamics and Public Health

Abstract

This paper delves into the Leslie Matrix Population Model to examine age specific density dependence in human population dynamics. The model’s key properties and the implications of its eigen values are explored in details, providing a foundational understanding of its mathematical underpinnings. A significant portion of the study is dedicated to the practical application of the Leslie matrix, wherein we project India’s age-specific female numbers between 2011 and 2051 at five-years intervals. By constructing a Leslie matrix tailored to India’s demographic data, we are able to predict population changes with a focus on female age groups. To demonstrate the model’s effectiveness and validate its accuracy, we compared the projected population for the year 2016 against actual data provided by the Registrar General of India, Govt. of India. The comparison indicates a high degree of accuracy, underscoring the model’s robustness in demographic predictions. This study not only confirm the utility of Leslie Matrix population model in forecasting population dynamics but also highlight its potential for planning and policy making in the context of India’s demographic landscape. Through rigorous analysis and validation, we affirm the model’s capacity to provide valuable insight into future population trends based on current age specific data.