Published April 1979
| public
Journal Article
Multi-species interactions with hereditary effects and spatial diffusion
- Creators
- Cohen, Donald S.
- Rosenblat, S.
Abstract
We study the effect of spatial diffusion on oscillatory states in arbitrary multi-species growth models having hereditary terms. We show that it is a general principle that the addition of spatial diffusion to a stable oscillatory ecological community induces a periodic diffusion wave in which the original wavenumber (or phase) evolves according to a nonlinear evolution equation of generalized Burgers' type.
Additional Information
© 1979 Springer-Verlag. Received June 5, 1978; Revised November 6, 1978. Supported in part by the U.S. Army Research Office (Durham) under Contract DAHC-04-68-C-0006 and by the National Science Foundation under Grant GP-32157X2.Additional details
- Eprint ID
- 100685
- DOI
- 10.1007/bf00275726
- Resolver ID
- CaltechAUTHORS:20200113-133330403
- DAHC-04-68-C-0006
- Army Research Office (ARO)
- GP-32157X2
- NSF
- Created
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2020-01-13Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field