Science Journal of Applied Mathematics and Statistics

| Peer-Reviewed |

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

Received: 03 November 2015    Accepted: 13 November 2015    Published: 23 July 2016
Views:       Downloads:

Share This Article

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.

DOI 10.11648/j.sjams.20160404.14
Published in Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 4, August 2016)
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), 2024. Published by Science Publishing Group

Keywords

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

References
[1] Joseph K (2002) Perspectives of Solid Waste Management in India. Proceedings of the International Symposium on the Technology and Management of the Treatment & Reuse.
[2] African Development Bank (2002). Study on the Waste Management Options for Africa. Unpublished Report.
[3] Achankeng, E. (2003). Globalisation, Urbanisation and Municipality Solid Waste management in Africa In Proceedings of the African studies Association of Australasia and the Pacific: Africa on a Global Stage, 3-5 October, 2003 Adelaide; Australia.
[4] World Bank 2012. Municipal Solid Waste Management in Dar Es Salaam. Unpublished report.
[5] Kaare S (2002) The Role of Privatisation in Providing the Urban Poor Access to Social Services: The Case of Solid Waste Collection in Dar-es-Salaam, Tanzania In Research on Poverty Alleviation. Dar-es-Salaam Tanzania. Mkuki na Nyota Publishers Ltd.
[6] Manga VE, Forton OT and Read AD (2008). Waste management in Cameroon: A new policy.
[7] Oosterveer P and Van Vliet B (2010). Environmental systems and local actors: decentralising environmental management in Uganda. Environmental Management 45: 284-295.
[8] Okot-Okumu J and Nyenje R (2011) Municipal solid waste management under decentralisation in Uganda. Habital International 35, 537-543.
[9] Yhdego M (1995). Urban solid waste management in Tanzania: issues, concepts and challenges. Resource, Conservation and Recycling, 14 (1), 1-10.
[10] Kyessi A and Mwakalinga V (2009). GIS Application in Coordinating Solid Waste Collection: The Case of Sinza Neighbourhood in Kinondoni Municipality, Dar-es-Salaam City, Tanzania. FIG Working Week 2009: Surveyors Key Role in Accelerated Development. Eilat, Israel, 3-8 May 2009.
[11] Gawaikar V and Deshpande V. P (2006). Source Specific Quantification and Characterisation of Municipal Solid Waste – a Review. Indian Journal of Environment Vol. 86.
[12] Troscinetz and Mihelcic, (2008). Sustainable recycling of municipal solid waste in developing countries. Waste Management 29: 915-923.
[13] Senzige, J. P; Makinde, O. D; Njau, K. N; Nkansha-Gyekye, Y. (2014). Computational Dynamics of Solid Waste Generation and Treatment in the Presence of Population Growth. Asian Journal of Mathematics and Applications. Volume 2014.
[14] Beigl, P., Lebersorger, S., Salhofer S., (2008). Modelling municipal solid waste generation: A review. Waste Management 28: 200-214.
[15] Benítez, S. O., Lozano-Olvera, G., Morelos, R. A., Armijo de Vega, C. (2008), Mathematical Modeling to Predict Residential Solid Waste Generation, Waste Management 28 S7–S13.
[16] Najm, M. A and El-Fadel, M., (2004). Computer-based interface for an integrated solid waste management optimisation model. Environmental Modelling and Software 19: 1151-1164.
[17] Dyson, B and Chang N. B., (2005). Forecasting solid waste generation in a fast-growing urban region with system dynamics modelling. Waste Management 25: 669-679.
[18] Eleyan, D., Al-Khatib, I. A, Garfield, J., (2013). System dynamics model for hospital waste characterization and generation in developing countries. Waste Management and Research 31 (10) 986–995.
[19] Van Houtven G. L and Morris G. E (199). Household Bahaviour under Alternative Pay-as-You-Throw System for Solid Waste Disposal. Land Economics vol. 75 issue 4 pp 515-537.
[20] Wassermann, G. and Schneider, F. 2005. Edibles in Household Waste. Proceedings of the Tenth International Waste Management and Landfill Symposium, CISA, S. Margherita di Pula, Sardinia: 913-914.
[21] Sankoh, F. P, F. P., Yan, X., Conteh, H. A. M. (42). A Situational Assessment of Socioeconomic Factors Affecting Solid Waste Generation and Composition in Freetown, Sierra Leone. Journal of Environmental Protection, 2012, 3, 563-568.
[22] United Nations (2012) The Millennium Development Goals Report 2012. New York: UN. Available at ttp://mdgs.un.org/unsd/mdg/Resources/Static/Products/Progress2012/English2012.pdf
[23] Arrowsmith, D. K., Place, C. M. (1982). Ordinary differential equations: A Qualitative Approach with Applications (Chapman and Hall mathematics series).
Author Information
  • The Institute of Tax Administration, Tanzania Revenue Authority, Dar es Salaam, Tanzania

  • Faculty of Military Science, Stellenbosch University, Saldanha, South Africa

Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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

    Copy | Download

  • @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://download.sciencepg.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  - 

    Copy | Download

  • Sections