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Mathematical modelling of the seasonal variability of plankton in a shallow lagoon. (English) Zbl 1151.34036

Summary: In this study, a nonlinear mathematical model is used to explain the seasonal variability of plankton in shallow coastal lagoons. A local stability analysis for dynamical systems is undertaken in order to estimate the range of values of model parameters. Numerical experiments and sensitivity tests with different parameters show that of the thirteen parameters in the model, the main parameter affecting the productivity is the growth rate of the phytoplankton, which depends on light and nutrients.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
92D40 Ecology
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[1] Adhikary, S. P.; Sahu, J. K., Distribution and seasonal abundance of Algal forms in Chilika lake, Japanese Journal of Limnology, 53, 3, 197-205 (1992)
[2] Chandramohan, P.; Nayak, B. U., A study for the improvement of the Chilka lake tidal inlet, east coasts of India, Journal of Coastal Research, 10, 909-918 (1994)
[3] Edwards, A., Adding detritus to a nutrient-phytoplankton-zooplankton model: A dynamical-systems approach, Journal of Plankton Research, 23, 389-413 (2001)
[4] Evans, G. T.; Parslow, J. S., A model of annual plankton cycle, Biological Oceanography, 3, 3, 327-346 (1985)
[5] Jayaraman, G.; Rao, A. D.; Dube, A.; Mohanty, P. K., Numerical simulation of circulation and salinity structure in Chilika Lagoon, Journal of Coastal Research, 23, 4, 861-877 (2007)
[6] Jayaraman, G.; Dube, A., Coastal processes with improved tidal opening in Chilika Lagoon (east coast of India), Advances in Geosciences (Solid Earth, Ocean Science & Atmospheric Science), 9, 91-108 (2006)
[7] Jayaraman, G.; Dube, A., (Mohanty, P. K., Modelling Coastal Ecology. Lakes and Coastal Wetlands Conservation, Restoration, Monitoring and Modelling (2007)), 145-154
[8] Jassby, A. D.; Platt, T., Mathematical formulation of the relationship between photosynthesis and light for phytoplankton, Limnology and Oceanography, 21, 540-547 (1976)
[9] Leah, Edelstein-Keshet, (Mathematical Models in Biology. Mathematical Models in Biology, Classics in Applied Mathematics, vol. 46 (2005), SIAM (Society of Industrial and Applied Mathematics, Philadelphia, PA), 231-235 · Zbl 1100.92001
[10] Mohanty, P. K.; Pal, S. R.; Mishra, P. K., Monitoring ecological conditions of a coastal lagoon using IRS data: A case study in Chilika, east coast of India, Journal of Coastal Research, 34, 459-469 (2001)
[11] Murray, J. D., Mathematical Biology I: An Introduction (2002), Springer, p. 507
[12] Panda, D.; Tripathy, S. K.; Patnaik, D. K.; Choudhary, S. B.; Gouda, R.; Panigrahy, R. C., Distribution of nutrients in Chilka lake, east coast of India, Indian Journal of Marine Sciences, 18, 286-288 (1989)
[13] Panigrahy, R. C., The Chilka lake — A sensitive coastal ecosystem of Orissa east coast of India, Journal of Indian Ocean Studies, 7, 2-3, 222-242 (2000)
[14] Raman, A. V.; Satyanarayana, Ch.; Adiseshasai, K.; Phani Prakash, K., Phytoplankton characteristics of Chilka lake, a brackish water lagoon along east coast of India, Indian Journal of Marine Sciences, 19, 274-277 (1990)
[15] Rath, J.; Adhikary, S. P., Growth response of selected micro-algae of Chilka lake to different salinity, Seaweed Research and Utilization, 25, 1-2, 127-130 (2003)
[16] Rath, J.; Adhikary, S. P., Algal Flora of Chilika Lake (2005), Daya Publishing House: Daya Publishing House Delhi, pp. 127-130
[17] Srinivasan, M., Phtyo and Zooplankton. Wetland Ecosystem Series I: Fauna of Chilka Lake (1995), Zoological Survey of India: Zoological Survey of India Madras, pp. 615-630
[18] Smith, E. L., Photosynthesis in relation to light and carbon dioxide, Proceedings of the National Academy of Sciences, 22, 504-510 (1936)
[19] Steele, J. H., Biological modelling, (Nihoul, J. C.J., Modelling of Marine Systems (1975), Elsevier), 208-216, (Chapter 10)
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