| contributor author | W. J. Padgett | |
| contributor author | S. D. Durham | |
| date accessioned | 2017-05-08T23:00:27Z | |
| date available | 2017-05-08T23:00:27Z | |
| date copyright | March, 1976 | |
| date issued | 1976 | |
| identifier issn | 0022-0434 | |
| identifier other | JDSMAA-26034#32_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/88506 | |
| description abstract | A new stochastic model for stream pollution is discussed. The model involves a random differential equation of the form X ̇(t) = AX (t) + y (t), 0 ≤ t ≤ Q, (for some large Q > 0) where X (t) is a two-dimensional vector-valued stochastic process with the first component giving the biochemical oxygen demand (BOD) and the second component representing the dissolved oxygen (DO) concentration at distance t downstream from a major source of pollution. Some recent theory of random equations is utilized to solve the random differential equation, and simulated trajectories of the BOD and DO processes are presented which illustrate the theoretical results. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Random Differential Equation Arising in Stream Pollution | |
| type | Journal Paper | |
| journal volume | 98 | |
| journal issue | 1 | |
| journal title | Journal of Dynamic Systems, Measurement, and Control | |
| identifier doi | 10.1115/1.3426981 | |
| journal fristpage | 32 | |
| journal lastpage | 36 | |
| identifier eissn | 1528-9028 | |
| keywords | Differential equations | |
| keywords | Pollution | |
| keywords | Oxygen | |
| keywords | Stochastic processes AND Equations | |
| tree | Journal of Dynamic Systems, Measurement, and Control:;1976:;volume( 098 ):;issue: 001 | |
| contenttype | Fulltext | |
