Identifying Stability Criteria for Suggested Nonlinear Model with Application

Abstract

This research focuses on forecasting the Arab Republic of Egypt's future population using a proposed nonlinear autoregressive (NAR) model. As the country faces significant challenges due to rapid population growth, reliable forecasting has become essential for effective resource allocation and policy formulation. To address this issue, a NAR model was constructed and trained using historical census data from 1950 to 2023. The model aims to project Arab Republic of Egypt population trends from 2024 to 2033. The forecasting results reveal a steady increase in population over the next decade. These findings confirm the effectiveness of the proposed NAR model in capturing the underlying patterns of Egypt’s population dynamics. The model offers a valuable, data-driven tool for decision-makers to anticipate future demands related to infrastructure, public services, and economic development. In summary, the study establishes the proposed nonlinear autoregressive model as a reliable method for population prediction in the Arab Republic of Egypt.