Journal of applied mathematics & informatics
- Volume 16 Issue 1_2
- /
- Pages.69-78
- /
- 2004
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
BIFURCATIONS IN A HUMAN MIGRATION MODEL OF SCHEURLE-SEYDEL TYPE-II: ROTATING WAVES
Abstract
This paper treats the conditions for the existence of rotating wave solutions of a system modelling the behavior of students in graduate programs at neighbouring universities near each other which is a modified form of the model proposed by Scheurle and Seydel. We assume that both types of individuals are continuously distributed throughout a bounded two-dimension spatial domain of two types (circle and annulus), across whose boundaries there is no migration, and which simultaneously undergo simple (Fickian) diffusion. We will show that at a critical value of a system-parameter bifurcation takes place: a rotating wave solution arises.