A Study on the Mathematical Modelling of Population Change

Abstract

Rapidly expanding human and animal populations are frequently described by the exponential function; however, this growth is not permanently sustainable. If only because their resource base will inevitably erode, growing populations must eventually stabilize or even collapse. The question of when and to what extent the global human population will stabilize is hotly debated. The population levels off as the environment's carrying capacity approaches thanks to the widely studied logistic or sigmoidal function and its distinctive S shape. The goal of the multidisciplinary academic area of bio-mathematical modeling is to use applied mathematics approaches to model biological and natural processes. The study of population dynamics is becoming more and more popular in the early twentieth century. The study of population dynamics, which combines the disciplines of mathematics, demography, social sciences, ecology, population genetics, and epidemiology, aims to provide a straightforward, mechanistic explanation of how the size and makeup of biological populations—such as those of humans, animals, plants, or microorganisms—change over time.