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Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment
Science Journal of Applied Mathematics and Statistics
Volume 4, Issue 4, August 2016, Pages: 141-146
Received: Nov. 3, 2015; Accepted: Nov. 13, 2015; Published: Jul. 23, 2016
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Jonas Petro Senzige, The Institute of Tax Administration, Tanzania Revenue Authority, Dar es Salaam, Tanzania
Oluwole Daniel Makinde, Faculty of Military Science, Stellenbosch University, Saldanha, South Africa
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This paper presents a mathematical model of the effects of population dynamics on solid waste generation and treatment. The model is developed by grouping the population into three age classes and each group considered to have its own solid waste generation rate and natural death rate. The population is assumed to increase due to birth and migration. Both analytical and numerical results confirm that solid waste generation increases with increasing population growth. On the other hand, sensitivity analysis shows that increasing solid waste treatment effort results in significant decreases in solid waste accumulation suggesting that with concerted treatment effort solid waste free environment can be achieved.
Mathematical Modelling, Population Dynamics, Solid Waste Generation, Solid Waste Treatment
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Jonas Petro Senzige, Oluwole Daniel Makinde, Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment, Science Journal of Applied Mathematics and Statistics. Vol. 4, No. 4, 2016, pp. 141-146. doi: 10.11648/j.sjams.20160404.14
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This article is an open access article distributed under the Creative Commons Attribution License ( which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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