A model for the effect of density of human population on the depletion of dissolved oxygen in a water body

作者: A. K. Misra , P. K. Tiwari

DOI: 10.1007/S10668-014-9565-2

关键词: PollutantEcologyNonlinear systemWater bodyChemistryPopulationEnvironmental chemistryBiomass

摘要: A nonlinear mathematical model to study the effect of density human population on depletion dissolved oxygen in a water body is proposed and analyzed. The governed by interactions among five dependent variables, namely resource biomass, population, concentration organic pollutants, bacteria oxygen. In formulation, it assumed that biomass follow logistic models with prey--predator type interaction. analyzed using stability theory differential equations. analysis shows increase intensify body. Numerical simulations are carried out illustrate analytical findings.

参考文章(34)
Etats-Unis. Public Health Service, A Study of the Pollution and Natural Purification of the Ohio River U.S. Department of Health, Education, & Welfare. ,(1958)
Sergio Rinaldi, H. Stehfest, H. Tamura, Rodolfo Soncini Sessa, Modelling and Control of River Quality McGraw-Hill. ,(1979)
Donald J. O'Connor, The temporal and spatial distribution of dissolved oxygen in streams Water Resources Research. ,vol. 3, pp. 65- 79 ,(1967) , 10.1029/WR003I001P00065
A.K. Misra, Peeyush Chandra, V. Raghavendra, Modeling the depletion of dissolved oxygen in a lake due to algal bloom: Effect of time delay Advances in Water Resources. ,vol. 34, pp. 1232- 1238 ,(2011) , 10.1016/J.ADVWATRES.2011.05.010
Ray Redheffer, Jack K. Hale, Ordinary differential equations American Mathematical Monthly. ,vol. 78, pp. 1154- ,(1971) , 10.2307/2316346
Mohamed M. Hantush, Modeling nitrogen-carbon cycling and oxygen consumption in bottom sediments Advances in Water Resources. ,vol. 30, pp. 59- 79 ,(2007) , 10.1016/J.ADVWATRES.2006.02.007
Robert V. Thomann, Bioaccumulation model of organic chemical distribution in aquatic food chains Environmental Science & Technology. ,vol. 23, pp. 699- 707 ,(1989) , 10.1021/ES00064A008
J.B. Shukla, Shalini Sharma, B. Dubey, Prawal Sinha, Modeling the survival of a resource-dependent population: Effects of toxicants (pollutants) emitted from external sources as well as formed by its precursors Nonlinear Analysis: Real World Applications. ,vol. 10, pp. 54- 70 ,(2009) , 10.1016/J.NONRWA.2007.08.014