Mathematical Model on Human Population Dynamics Using Delay Differential Equation

Student: Oghenegweke Wisdom Okpako (Project, 2025)
Department of Mathematics/Statistics
University of Port-Harcourt, Rivers State

Abstract

Simple population growth models incorporating birth rates, death rates, migration, and environmental carrying capacity were explored. Additionally, key calculations involving delay differential equations were examined to deepen
understanding on how delays impact population dynamics.
This project focuses on understanding how human populations grow and change over time using a mathematical model with delay differential equations.
These equations help account for the time delays in population processes, such as birth, maturation, and other factors that affect growth. The study aims to identify the key features of population growth, examine how delays impact population dynamics, and suggest ways to reduce negative effects of these delays. It also looks at how changes in age structure and gender balance aftect population stability. The results aim to provide useful insights for managing population growth sustainably

Keywords
mathematical model human population dynamics delay differential equation
Filters
Institutions