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

Ararso Hussen Teru; Purnachandra Rao Koya

doi:doi:10.11648/j.mma.20200502.15

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

Ararso Hussen Teru, Purnachandra Rao Koya

Published in Mathematical Modelling and Applications (Volume 5, Issue 2)

Received: 3 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.

Published in	Mathematical Modelling and Applications (Volume 5, Issue 2)
DOI	10.11648/j.mma.20200502.15
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), 2020. Published by Science Publishing Group

Keywords

Mathematical Model, Logistic Growth Model, Forest Density, Population Density, Population Pressure, Numerical Simulation

References

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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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ACS 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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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://article.sciencepublishinggroup.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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Author Information

Ararso Hussen Teru

Department of Mathematics, Wolkite University, Wolkite, Ethiopia
Purnachandra Rao Koya

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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ACS 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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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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

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  -

Copy | Download