A Simple System with a Continuum of Stable Inhomogeneous Steady States
Authors
Published Date
Publisher
Type
Abstract
The system ut = {(1 + v)}xx + (R1 - au - bv)u vt = (R2 - bu - av)v {(1 + u)}xx = 0 at x = 0 and x = 1 with 1/2 (a/b + b/a) < R1/R2 < a/b and > a(a2 - b2) / 2abR1 - (a2 + b2) R2 was considered by M. Mimura [2] as a model for the population densities of two competing species, one of which increases its migration rate in response to crowding by the other species. It is a special case of the model of N. Shigesada, K. Kawasaki, and E. Teramoto [3].
Keywords
Description
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
item.page.replaces
License
Collections
Series/Report Number
Funding Information
item.page.isbn
DOI identifier
Previously Published Citation
Other identifiers
Suggested Citation
Weinberger, H.F.. (1982). A Simple System with a Continuum of Stable Inhomogeneous Steady States. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/5118.
Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.