A space-time state-space model of phytoplankton allelopathy |
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| Affiliation: | 1. Nofima, Norwegian Institute of Food, Fisheries and Aquaculture Research, P.O. Box 210, N-1431 Ås, Norway;2. Norwegian University of Life Sciences, School of Veterinary Science, P.O. Box 5003, NO-1432 Ås, Norway;1. Department of Environmental and Occupational Health Sciences, University of Washington, Seattle, WA, USA;2. Center on Human Development and Disability, University of Washington, Seattle, WA, USA;3. Washington National Primate Research Center, Seattle, WA, USA;4. Department of Pharmaceutics, University of Washington, Seattle, WA, USA |
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| 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. |
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