The conference

Announcements(9)

Message from Organizer

Committee Members

Call for Participation

Registration

Timetable

Mon. Jul 7, 2025

Tue. Jul 8, 2025

Wed. Jul 9, 2025

Thu. Jul 10, 2025

Fri. Jul 11, 2025

Plenary Speakers

Program

Sessions

Search presentations

ACMB2005 head 1000-100_re.png

Profile management

Announcements

Bookmark

Download PDF for print

Program Type

Login required to view

Password required to view

Presentation Information

Session Details

The password has been sent to those who have completed payment.

To browse or post comments, you must log in.

You cannot post comments as it is outside the comment posting period.

This comment has been deleted. You cannot reply to this comment.

Eigenvalue Problem of the Multi-State Age-Structured Population Model and the Population Structure of Japan

For over a century, the development of mathematical models and exploring their dynamics have been central to scientific research. In recent years, this field has been significantly enriched by contributions from researchers across multiple disciplines. This mini-symposium aims to provide a comprehensive understanding of model-based ecological principles by introducing several novel population models. These models incorporate various ecological phenomena, including the Allee effect, hunting cooperation, strong-weak competition, Conser functional response, omnivory, age structure, diffusion, and time delays. A notable challenge in the stability analysis of some models arises from the presence of an infinite number of eigenvalues. We demonstrate how the dominant eigenvalue determines population distribution and identify key parameters influencing system behavior. Furthermore, we investigate several bifurcations at equilibrium, including saddle-node, transcritical, pitchfork, and Hopf bifurcations. The discussion also extends to saddle-node bifurcations of limit cycles and rate-induced phase tipping (RP-tipping) between two stable limit cycles. All bifurcations are analyzed within the framework of ecological principles, providing valuable insights into the optimal utilization of biological resources and the maintenance of ecological balance.

Model Bifurcations and Ecological Relevance

Joint Meeting of Asian Conference for Mathematical Biology and Annual Meeting of Japanese Society for Mathematical Biology (ACMB-JSMB2025)

Presentation Information

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

Keywords:

Password required to view