BIFURCATIONS IN A HUMAN MIGRATION MODEL OF SCHEURLE-SEYDEL TYPE-II: ROTATING WAVES

다국어 초록 (Multilingual 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.

참고문헌 (Reference)

1 "Hopf Bifurcation from Rotating Wavesand Patterns in Physical Space" 10 : 69-101, 2000

2 "Global bifurcation of Waves"

3 "Branching phenomena in uid dynamics and chemical reaction-diusion theory Eigenvalues of non-linear problems" 19742583

4 "Bifurcations in a human migration model of Scheurle-Seydel type I : Turingbifurcation" 13 (13): 1303-1308, 2003

5 "Bifurcation analysis of reaction-diusion equations v" 19843663

6 "Annals New York Academy of Sciences 316 263278"

7 "A model of student migration International Journal of Bifurcationand Chaos 10" 2 : 477-480, 2000