Mathematical Modelling and Applications

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Mathematical Modelling of Deforestation of Forested Area Due to Lack of Awareness of Human Population and Its Conservation

Received: 03 January 2020    Accepted: 10 March 2020    Published: 12 May 2020
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Abstract

As the density of human population increases the forest density will be highly affected by population from time to time for agricultural, industrial, economic purpose, and etc. Because of lack of awareness about the importance of forestry resources, the human populations clear forests for different purposes. Keeping this in mind, a nonlinear mathematical model is proposed and analyzed to study the deforestation of forest resources due to lack of clear information about utility of the forest as well as to increase forestry resources by plantation on the conservation of forestry resources. The model is in the form of ordinary differential equations. The result of this study shows that as the density of population as well as population pressure increases, the cumulative density of forest resources decreases. Reversely, the test of supporting human awareness on the importance of forest resources for global purposes show that as awareness of human population increases the declaration of forest resources decreases. In addition to this, increasing the density of forest resources through plantation may replace the clear-cut of forest area. This help the conservation carried out to in force the pressure of human population to save the forest density and forest habit. For these findings analytical and numerical analyses are performed.

DOI 10.11648/j.mma.20200502.15
Published in Mathematical Modelling and Applications (Volume 5, Issue 2, June 2020)
Page(s) 94-104
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 Model, Logistic Growth Model, Forest Density, Population Density, Population Pressure, Numerical Simulation

References
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[4] Misra, AK and Lata, Kusum and Shukla, JBA mathematical model for the depletion offorestry resources due to population and population pressure augmented industrialization, vol. 5, n. 01, p. 1350022, (2014).
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[25] Shukla J. B., Freedman, H. I., Pal, V. N., Misra, O. P., Agarwal, M. and Shukla, A., Degradation and subsequent regeneration of a forestry resource: a mathematical model, Ecol. Model., 44, 219-229, 1989.
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Author Information
  • Department of Mathematics, Wolkite University, Wolkite, Ethiopia

  • Department of Mathematics, Wollega University, Nekemte, Ethiopia

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  • APA Style

    Ararso Hussen Teru, Purnachandra Rao Koya. (2020). Mathematical Modelling of Deforestation of Forested Area Due to Lack of Awareness of Human Population and Its Conservation. Mathematical Modelling and Applications, 5(2), 94-104. https://doi.org/10.11648/j.mma.20200502.15

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    Ararso Hussen Teru; Purnachandra Rao Koya. Mathematical Modelling of Deforestation of Forested Area Due to Lack of Awareness of Human Population and Its Conservation. Math. Model. Appl. 2020, 5(2), 94-104. doi: 10.11648/j.mma.20200502.15

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    AMA Style

    Ararso Hussen Teru, Purnachandra Rao Koya. Mathematical Modelling of Deforestation of Forested Area Due to Lack of Awareness of Human Population and Its Conservation. Math Model Appl. 2020;5(2):94-104. doi: 10.11648/j.mma.20200502.15

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  • @article{10.11648/j.mma.20200502.15,
      author = {Ararso Hussen Teru and Purnachandra Rao Koya},
      title = {Mathematical Modelling of Deforestation of Forested Area Due to Lack of Awareness of Human Population and Its Conservation},
      journal = {Mathematical Modelling and Applications},
      volume = {5},
      number = {2},
      pages = {94-104},
      doi = {10.11648/j.mma.20200502.15},
      url = {https://doi.org/10.11648/j.mma.20200502.15},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.mma.20200502.15},
      abstract = {As the density of human population increases the forest density will be highly affected by population from time to time for agricultural, industrial, economic purpose, and etc. Because of lack of awareness about the importance of forestry resources, the human populations clear forests for different purposes. Keeping this in mind, a nonlinear mathematical model is proposed and analyzed to study the deforestation of forest resources due to lack of clear information about utility of the forest as well as to increase forestry resources by plantation on the conservation of forestry resources. The model is in the form of ordinary differential equations. The result of this study shows that as the density of population as well as population pressure increases, the cumulative density of forest resources decreases. Reversely, the test of supporting human awareness on the importance of forest resources for global purposes show that as awareness of human population increases the declaration of forest resources decreases. In addition to this, increasing the density of forest resources through plantation may replace the clear-cut of forest area. This help the conservation carried out to in force the pressure of human population to save the forest density and forest habit. For these findings analytical and numerical analyses are performed.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Mathematical Modelling of Deforestation of Forested Area Due to Lack of Awareness of Human Population and Its Conservation
    AU  - Ararso Hussen Teru
    AU  - Purnachandra Rao Koya
    Y1  - 2020/05/12
    PY  - 2020
    N1  - https://doi.org/10.11648/j.mma.20200502.15
    DO  - 10.11648/j.mma.20200502.15
    T2  - Mathematical Modelling and Applications
    JF  - Mathematical Modelling and Applications
    JO  - Mathematical Modelling and Applications
    SP  - 94
    EP  - 104
    PB  - Science Publishing Group
    SN  - 2575-1794
    UR  - https://doi.org/10.11648/j.mma.20200502.15
    AB  - As the density of human population increases the forest density will be highly affected by population from time to time for agricultural, industrial, economic purpose, and etc. Because of lack of awareness about the importance of forestry resources, the human populations clear forests for different purposes. Keeping this in mind, a nonlinear mathematical model is proposed and analyzed to study the deforestation of forest resources due to lack of clear information about utility of the forest as well as to increase forestry resources by plantation on the conservation of forestry resources. The model is in the form of ordinary differential equations. The result of this study shows that as the density of population as well as population pressure increases, the cumulative density of forest resources decreases. Reversely, the test of supporting human awareness on the importance of forest resources for global purposes show that as awareness of human population increases the declaration of forest resources decreases. In addition to this, increasing the density of forest resources through plantation may replace the clear-cut of forest area. This help the conservation carried out to in force the pressure of human population to save the forest density and forest habit. For these findings analytical and numerical analyses are performed.
    VL  - 5
    IS  - 2
    ER  - 

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