10.2190/J65A-Y0EP-266U-9H6H J65AY0EP266U9H6H 3 Transient Response of Lake Systems to Phosphorus 137 149 20020509 20020509 20020509 20020509 J65AY0EP266U9H6H.pdf http://baywood.metapress.com/link.asp?target=contribution&id=J65AY0EP266U9H6H 2 Babak Naghavi Donald D. Adrian Louisiana Transportation Research Center Louisiana State University, Baton Rouge Impoundments and lake systems become eutrophic through excessive nutrient (phosphorus and nitrogen) loadings. Deterioration of water quality because of algal blooms has forced many water quality control boards to adopt measures to reduce discharge of such nutrients into the water bodies. Phosphorus is the nutrient that is selected most frequently for control as there are fewer pathways for it to enter a lake than there are for nitrogen. For instance, the Virginia Water Control Board has adopted an average monthly limit of 2 mg/1 of total phosphorus in the effluent of about forty wastewater treatment plants in the Chesapeake Bay Drainage Basin [1]. N. Testerman and W. S. Lung, Modeling Fate and Transport of Nutrients in the James Estuary, <i>Journal of Environmental Engineering, 115</i>:5, pp. 978-991, 1989. W. Hurewicz, <i>Lectures on Ordinary Differential Equations</i>, The MIT Press, Cambridge, Massachusetts, p. 43, 1958. S. C. Chapra and R. P. Canale, <i>Numerical Methods for Engineers with Personal Computer Applications</i>, McGraw-Hill, New York, pp. 501-504, 1985. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, <i>Numerical Recipes</i>, Cambridge University Press, New York, pp. 547-577, 1986. V. G. Jensen and Jeffreys, <i>Mathematical Methods in Chemical Engineering</i>, Academic Press, New York, 1977. D. R. Bingham and T. H. Feng, Mathematical Modeling of Recovery of a Eutrophic Lake, <i>Report No. Env. E. 65-80-1</i>, Department of Civil Engineering, University of Massachusetts, Amherst, 1980. R. N. Havis, Mathematical Models of Phosphorus in Completely Mixed Lakes, Thesis submitted in partial fulfillment of the requirement for the degree of Master of Science, University of Massachusetts, Amherst, 1983. R. N. Havis and D. W. Ostendorf, Approximate Dynamic Lake Phosphorus Budget Models, <i>Journal of Environmental Engineering Division, 115</i>:4, pp. 809-821, 1989. H. B. Phillips, <i>Differential Equations</i>, John Wiley & Sons, New York, pp. 96-97, 1924. I. S. Sokolnikoff and R. M. Redheffer, <i>Mathematics of Physics and Modern Engineering</i>, McGraw-Hill, New York, pp. 95-106, 1958. E. D. Rainville, <i>Differential Equations</i>, Macmillan, New York, 1958. L. Elsgolts, <i>Differential Equations and the Calculus of Variations</i>, MIR Publishers, Moscow, USSR, pp. 179-186, 1970. W. Kaplan, <i>Advanced Calculus</i>, Addison-Wesley, Reading, Massachusetts, pp. 468-473, 1952. E. Kreyszig, <i>Advanced Engineering Mathematics</i>, John Wiley and Sons, New York, 1983. E. L. Scott, <i>Transform Calculus with an Introduction to Complex Variables</i>, Harper and Brothers, New York, 1955. R. V. Churchill, <i>Operational Mathematics</i>, McGraw-Hill, New York, 1958. H. S. Carslaw and J. C. Jaeger, <i>Operational Methods in Applied Mathematics</i>, Dover, New York, pp. 299-320, 1963. M. Abramowitz and I. Stegun (eds.), <i>Handbook of Mathematical Functions</i>, Dover, New York, pp. 1019-1030, 1965. I. S. Gradshteyn and I. M. Ryzhik, <i>Tables of Integrals, Series, and Products</i>, Academic Press, pp. 1142-1143, 1980. F. Oberhettinger and L. Badii, <i>Tables and Laplace Transforms</i>, Springer-Verlag, New York, 1973. R. A. Frazer, W. J. Duncan, and A. R. Collar, <i>Elementary Matrices and Some Applications to Dynamics and Differential Equations</i>, Cambridge University Press, pp. 209-211, 1960. S. Rinaldi, R. Soncini-Sessa, H. Stehfest, and H. Tamura, <i>Modeling and Control of River Quality</i>, McGraw-Hill, New York, 1979. G. Doetsch, <i>Guide to the Applications of Laplace Transforms</i>, D. Van Nostrand, New York, pp. 76-82, 1961.