Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment

Jonas Petro Senzige; Oluwole Daniel Makinde

doi:doi:10.11648/j.sjams.20160404.14

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Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment

Jonas Petro Senzige, Oluwole Daniel Makinde

Published in Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 4)

Received: 3 November 2015 Accepted: 13 November 2015 Published: 23 July 2016

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Abstract

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.

Published in	Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 4)
DOI	10.11648/j.sjams.20160404.14
Page(s)	141-146
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Mathematical Modelling, Population Dynamics, Solid Waste Generation, Solid Waste Treatment

References

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APA Style

Jonas Petro Senzige, Oluwole Daniel Makinde. (2016). Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment. Science Journal of Applied Mathematics and Statistics, 4(4), 141-146. https://doi.org/10.11648/j.sjams.20160404.14

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ACS Style

Jonas Petro Senzige; Oluwole Daniel Makinde. Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment. Sci. J. Appl. Math. Stat. 2016, 4(4), 141-146. doi: 10.11648/j.sjams.20160404.14

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AMA Style

Jonas Petro Senzige, Oluwole Daniel Makinde. Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment. Sci J Appl Math Stat. 2016;4(4):141-146. doi: 10.11648/j.sjams.20160404.14

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@article{10.11648/j.sjams.20160404.14,
  author = {Jonas Petro Senzige and Oluwole Daniel Makinde},
  title = {Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {4},
  number = {4},
  pages = {141-146},
  doi = {10.11648/j.sjams.20160404.14},
  url = {https://doi.org/10.11648/j.sjams.20160404.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160404.14},
  abstract = {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.},
 year = {2016}
}

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TY  - JOUR
T1  - Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment
AU  - Jonas Petro Senzige
AU  - Oluwole Daniel Makinde
Y1  - 2016/07/23
PY  - 2016
N1  - https://doi.org/10.11648/j.sjams.20160404.14
DO  - 10.11648/j.sjams.20160404.14
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 141
EP  - 146
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20160404.14
AB  - 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.
VL  - 4
IS  - 4
ER  -

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Author Information

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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APA Style

Jonas Petro Senzige, Oluwole Daniel Makinde. (2016). Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment. Science Journal of Applied Mathematics and Statistics, 4(4), 141-146. https://doi.org/10.11648/j.sjams.20160404.14

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ACS Style

Jonas Petro Senzige; Oluwole Daniel Makinde. Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment. Sci. J. Appl. Math. Stat. 2016, 4(4), 141-146. doi: 10.11648/j.sjams.20160404.14

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AMA Style

Jonas Petro Senzige, Oluwole Daniel Makinde. Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment. Sci J Appl Math Stat. 2016;4(4):141-146. doi: 10.11648/j.sjams.20160404.14

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@article{10.11648/j.sjams.20160404.14,
  author = {Jonas Petro Senzige and Oluwole Daniel Makinde},
  title = {Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {4},
  number = {4},
  pages = {141-146},
  doi = {10.11648/j.sjams.20160404.14},
  url = {https://doi.org/10.11648/j.sjams.20160404.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160404.14},
  abstract = {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.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Modelling the Effects of Population Dynamics on Solid Waste Generation and Treatment
AU  - Jonas Petro Senzige
AU  - Oluwole Daniel Makinde
Y1  - 2016/07/23
PY  - 2016
N1  - https://doi.org/10.11648/j.sjams.20160404.14
DO  - 10.11648/j.sjams.20160404.14
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 141
EP  - 146
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20160404.14
AB  - 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.
VL  - 4
IS  - 4
ER  -

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