Mukhopadhyay, A. ; Tapaswi, P. K. ; Chattopadhyay, J. (2003) A space-time state-space model of phytoplankton allelopathy Nonlinear Analysis: Real World Applications, 4 (3). pp. 437-456. ISSN 1468-1218
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S14681...
Related URL: http://dx.doi.org/10.1016/S1468-1218(02)00070-6
Abstract
An integro-differential equation system with nonlocal effects of interspecific allelopathic interaction has been studied to investigate the formation of spatio-temporal structures in toxin producing phytoplankton population. The model is inherently more realistic than the usual kind of reaction-diffusion model. Bifurcation from uniform steady-state solution has been examined. Evolution of steady-state spatially periodic structure and periodic standing waves have been studied. The model helps to investigate the blooms, pulses and succession in different patches of phytoplankton population. Numerical simulations for a hypothetical set of parameter values and experimental observations have been presented to substantiate the analytical findings.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Phytoplankton; Allelopathy; Nonlocal Effects; Time Delay; Spatial Structures |
| ID Code: | 7529 |
| Deposited On: | 25 Oct 2010 11:14 |
| Last Modified: | 30 May 2011 06:21 |
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