A Stochastic Model for BOD and DO with Random Initial Conditions and Distance Dependent Velocity

A random differential equation arises in stream pollution models when the initial conditions are stochastic and the stream velocity is distance dependent. The mean squared solution gives the biochemical oxygen demand (BOD) and the dissolved oxygen (DO) at any distance downstream from the pollution s...

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Bibliographic Details
Published inMathematical biosciences Vol. 67; no. 1; pp. 19 - 31
Main Author Papadopoulos, Alex S.
Format Journal Article
LanguageEnglish
Published New York, NY Elsevier Inc 01.01.1983
Elsevier Science
Subjects
Applied sciences
biochemical oxygen demand
BOD
Continental surface waters
dissolved oxygen
ecology
Exact sciences and technology
Freshwater
freshwater pollution
mathematical models
Natural water pollution
pollutant detection
Pollution
pollution detection
rivers
streams
Water treatment and pollution
Stochastic model
Biological oxygen demand
Probability
Stream
Water pollution
Forecast model
Dissolved oxygen
Velocity
Organic compounds
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Summary:A random differential equation arises in stream pollution models when the initial conditions are stochastic and the stream velocity is distance dependent. The mean squared solution gives the biochemical oxygen demand (BOD) and the dissolved oxygen (DO) at any distance downstream from the pollution source. The probability density function and some of the moments of the BOD and DO are obtained, thus completely characterizing the BOD and DO process. An example illustrates the results and compares them with previous ones.
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ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(83)90016-0