Cohen, Donald S. and Rosenblat, S. (1979) Multi-species interactions with hereditary effects and spatial diffusion. Journal of Mathematical Biology, 7 (3). pp. 231-241. ISSN 0303-6812. https://resolver.caltech.edu/CaltechAUTHORS:20200113-133330403
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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.
| Item Type: | Article | |||||||||
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| 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. | |||||||||
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| Subject Keywords: | Stochastic Process; Probability Theory; Evolution Equation; Growth Model; General Principle | |||||||||
| Issue or Number: | 3 | |||||||||
| Record Number: | CaltechAUTHORS:20200113-133330403 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200113-133330403 | |||||||||
| Official Citation: | Cohen, D.S., Rosenblat, S. Multi-species interactions with hereditary effects and spatial diffusion. J. Math. Biology 7, 231–241 (1979) doi:10.1007/BF00275726 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 100685 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 13 Jan 2020 21:47 | |||||||||
| Last Modified: | 13 Jan 2020 21:47 |
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