Latest News

About CAMQ

Information for Authors

Editorial Board

Browse CAMQ Online

Subscription and Pricing

CAMQ Contacts

CAMQ Home

 

Volume 2,     Number 3,     Summer 1994

 

A SIMPLE MODEL OF
REPRODUCTIVE MASS SPREADING
SAMUEL S. SHEN

Abstract. In this paper a simple model of reproductive toxic mass spreading in a slender trough is investigated. The objectives of the study are to describe the periodic retreat and advance of the toxic front and to show the bistability of the model when the system is driven by a weak periodic forcing. This periodic forcing models two situations of interest: (i) periodic injection of toxic chemical at one end of the trough, and (ii) periodically varying surrounding temperature. Through multiple scales analysis, oscillations of the toxic front are determined. A slope stability theorem for stationary oscillations of the toxic front is proved. This theorem assures the existence of two bifurcation points, at which an infinitesimal change of the forcing term may cause a large jump in the oscillation amplitude of the toxic front.

 

Download PDF Files
 
(Subscribers Only)

© 2005, Canadian Applied Mathematics Quarterly (CAMQ)