IDEAS home Printed from https://ideas.repec.org/a/spr/endesu/v17y2015i3p623-640.html
   My bibliography  Save this article

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

Author

Listed:
  • A. Misra
  • P. Tiwari

Abstract

A nonlinear mathematical model to study the effect of density of human population on the depletion of dissolved oxygen in a water body is proposed and analyzed. The proposed model is governed by interactions among five dependent variables, namely density of resource biomass, density of human population, concentration of organic pollutants, density of bacteria and concentration of dissolved oxygen. In the model formulation, it is assumed that density of resource biomass and density of human population follow logistic models with prey--predator type interaction. The model is analyzed using stability theory of differential equations. The analysis of model shows that increase in human population intensify the depletion in concentration of dissolved oxygen in a water body. Numerical simulations are carried out to illustrate analytical findings. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • A. Misra & P. Tiwari, 2015. "A model for the effect of density of human population on the depletion of dissolved oxygen in a water body," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 17(3), pages 623-640, June.
    • Handle: RePEc:spr:endesu:v:17:y:2015:i:3:p:623-640
    DOI: 10.1007/s10668-014-9565-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10668-014-9565-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10668-014-9565-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. A. Misra & Kusum Lata & J. Shukla, 2014. "Effects of population and population pressure on forest resources and their conservation: a modeling study," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 16(2), pages 361-374, April.
    2. M. Sudha & S. Ravichandran & R. Sakthivadivel, 2013. "Water Bodies Protection Index for assessing the sustainability status of lakes under the influence of urbanization: a case study of south Chennai, India," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 15(5), pages 1157-1171, October.
    3. Amemiya, Takashi & Enomoto, Takatoshi & Rossberg, Axel G. & Yamamoto, Tetsuya & Inamori, Yuhei & Itoh, Kiminori, 2007. "Stability and dynamical behavior in a lake-model and implications for regime shifts in real lakes," Ecological Modelling, Elsevier, vol. 206(1), pages 54-62.
    4. K. Parameswari & B. Mudgal & Prakash Nelliyat, 2012. "Evaluation of groundwater contamination and its impact: an interdisciplinary approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 14(5), pages 725-744, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Abhinav Tandon & Kumari Jyotsna & Susanto Dey, 2018. "A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(4), pages 1499-1516, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. An, Qi & Wang, Hao & Wang, Xiunan, 2024. "Fish survival subject to algal bloom: Resource-based growth models with algal digestion delay and detritus-nutrient recycling delay," Ecological Modelling, Elsevier, vol. 491(C).
    2. Tao Peng & Hongwei Deng, 2021. "Study on the division of main functional regions based on relative carrying capacity of resources: a case study of Guiyang, southwest China," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(6), pages 9493-9513, June.
    3. Li He & Feng Shao & Lixia Ren, 2021. "Sustainability appraisal of desired contaminated groundwater remediation strategies: an information-entropy-based stochastic multi-criteria preference model," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(2), pages 1759-1779, February.
    4. Célestin Defo & Bernard Palmer Kfuban Yerima & Nestor Bemmo, 2017. "Investigating soils retention ratios and modelling geochemical factors affecting heavy metals retention in soils in a tropical urban watershed," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 19(5), pages 1649-1671, October.
    5. Abhinav Tandon & Kumari Jyotsna & Susanto Dey, 2018. "A mathematical model to investigate the impact of overgrowing population-induced mining on forest resources," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 20(4), pages 1499-1516, August.
    6. Li, Junmin & Huang, Ping & Zhang, Renduo, 2010. "Modeling the refuge effect of submerged macrophytes in ecological dynamics of shallow lakes: A new model of fish functional response," Ecological Modelling, Elsevier, vol. 221(17), pages 2076-2085.
    7. Shrikant Vitthal Mukate & Dipak Baburao Panaskar & Vasant Madhav Wagh & Stephen J. Baker, 2020. "Understanding the influence of industrial and agricultural land uses on groundwater quality in semiarid region of Solapur, India," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 22(4), pages 3207-3238, April.
    8. Burgoyne Christopher N. & Kelso Clare J., 2014. "‘The Mkuze River it has crossed the fence’ (1) – communities on the boundary of the Mkuze protected area," Bulletin of Geography. Socio-economic Series, Sciendo, vol. 26(26), pages 1-16, December.
    9. Weissenberger, Sebastian & Lucotte, Marc & Houel, Stéphane & Soumis, Nicolas & Duchemin, Éric & Canuel, René, 2010. "Modeling the carbon dynamics of the La Grande hydroelectric complex in northern Quebec," Ecological Modelling, Elsevier, vol. 221(4), pages 610-620.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:endesu:v:17:y:2015:i:3:p:623-640. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.