Mathematical Models of Human Migration: A Review and Analysis

Human migration has been a central aspect of human history, driven by numerous factors such as economic opportunities, political instability, environmental changes, and social dynamics. In recent years, mathematical models have played a significant role in understanding migration patterns, providing insights into the decision-making processes of migrants and the impacts of migration on both sending and receiving regions. This paper explores various mathematical approaches to human migration, including models based on differential equations, network theory, and agent-based simulations. By reviewing these models, we aim to understand the key drivers of migration, the dynamics of migratory flows, and the potential for policy interventions.