[MS10] Model Bifurcations and Ecological Relevance

[MS10-08] Eigenvalue Problem of the Multi-State Age-Structured Population Model and the Population Structure of Japan

*Ryo Oizumi¹ (1. National Institute of Population and Social Security Research (Japan))

Keywords:

Partial differential equation,Matrix model,Malkov process,Human demography,Stochastic differential equation

The multi-state age-structured population model provides a detailed framework for analyzing population dynamics by categorizing cohorts by age and additional states, such as body weight, residential location, or income level. This model predicts future population distributions by representing state transitions and birth and death rates in a linear equation. The eigenvalue problem is critical in understanding long-term population dynamics, as the dominant eigenvalue of the linear operator corresponds to the population growth rate. Moreover, the eigenfunctions associated with the dominant eigenvalue reveal the stable distribution of population across the given states. This study employs the eigenfunctions of a multi-state age-structured population model to examine the effects of domestic and international migration on Japan's population decline, offering insights into potential strategies for mitigating demographic challenges.