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Simulation for Mathematical Modelling of the Effects of a Random Disturbance on Biodiversity of Forestry Biomass

Received: 16 November 2022    Accepted: 5 December 2022    Published: 15 December 2022
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Abstract

Mathematical modelling and simulation of dynamical system have drawn attention in recent times. In addition, there has been so much interest in dynamical characteristics of population model. Forest biomass system happens to play an important role in population dynamics. The study of forests and forestry preservation has gained tremendous attention in government, among individuals and researchers. The ecological dynamical system is highly vulnerable to random perturbation which can be attributed to the other environmental and climatic factors and other characteristics of the ecosystem. However, there are two factors that may have a high potential to influence the performance of biodiversity gain or loss. Therefore, this study focusses on the effect of a random disturbance of five different degrees on the forestry biomass, the density of the wood-based industry and the density of the synthetic based industry. The ODE 45 solver have been used to tackle this problem. We have utilized the technique of a numerical simulation to predict that a higher random noise perturbation has the potential to predict higher degree of biodiversity gain than a lower random noise. The result indicates that not all random noise driven factors do predict biodiversity loss. These are presented and fully discussed. quantitatively.

Published in Pure and Applied Mathematics Journal (Volume 11, Issue 6)
DOI 10.11648/j.pamj.20221106.14
Page(s) 121-125
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

Biomass, Random Noise, Biodiversity, Density, Numerical Scheme

References
[1] Agarwal, M., Fatima, T., and Freedom, H. I. (2008). Depletion of forestry resources biomass due to industrialization pressure: A ratio dependent mathematical model. Journal of Biological Dynamics, 4 (4), 381-396.
[2] Chaudhary, M., Dhar, J., and Sahu, G. P. (2013). Mathematical Model of Depletion of Forestry Resource: Effect of Synthetic Based Industries. World Academy of Science, Engineering and Technology. International Journal of Biological & Ecological Engineering, 7 (4), 797-802.
[3] Rachana, P. (2018). Depletion of Forest Resources and Wildlife Population with Habitat. Complexity: A Mathematical Model. Open Journal of Ecology, 8 (11), 579-589.
[4] Jyotsna, K., and Tandon, A. (2017). A mathematical model to study the impact of mining activities and pollution on forest resources and wildlife population. Journal of biological systems, 25 (2), 207-230.
[5] Misra, A. K., and Lata, K. (2015). A mathematical Model to Achieve Sustainable Forest. Management. Industrial Journal of modelling, simulation and scientific computing, 6 (4), 295-301.
[6] Lata, K., Dubey, B., and Misra, A. K. (2016). Modelling the effects of wood and non-wood based industries of forestry resources. Natural Resource Modelling, 29 (4), 559-580.
[7] Nafo N. M. (2016) Random Noise Selection of stability Type: A case study of interacting investors in the Nigerian Stock exchange. Ph.D Thesis, Department of Mathematics and Statistics, Rivers State University of Science and Technology, Port Harcourt.
[8] Bazuaye and Omorogbe C. O. (2021). Mathematical Analysis for the preservation of forestry Biomass using the Laplace Decomposition Method. Pure and Applied Mathematics Journal. Volume 11 (1): 1-19.
[9] Godspower, C. A., Charles, O., and Ekaka, E. N. (2020). Numerical simulation of biodiversity. loss: Comparison of numerical methods. International Journal of mathematics trend and technology, 66 (3), 53-64.
[10] Bazuaye F. E. (2017), Computational Simulation of the Impact of system Perturbation on Stabilization of the growth of two political Parties. Journal Applied Science and Environmental Management. (2): 169-175.
[11] Eke N, Atsu J. U, Ekaka-a E. N (2018), Simulation modelling of the effect of a random disturbance on biodiversity of a mathematical model of mutualism between two interacting yeast species. International Journal of Advanced Engineering, Management and Science (IJAEMS). Vol-4, Issue-1.
[12] Bazuaye F. E. (2019). Numerical Modelling of the impact of the recruitment rates on the stability of two interacting competitive Dynamical Systems. SCIENTIA AFRICANAN. Vol 18 (1): 1.
[13] Bazuaye F. E. and Ijomah M. A. (2020). Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO2 on the Climate Change. Applied and Computational Mathematics journal (ACM). Volume 9 (3), 96-101.
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  • APA Style

    Bazuaye Frank Etin-Osa, Musa Alex, Ezeora Jeremiah. (2022). Simulation for Mathematical Modelling of the Effects of a Random Disturbance on Biodiversity of Forestry Biomass. Pure and Applied Mathematics Journal, 11(6), 121-125. https://doi.org/10.11648/j.pamj.20221106.14

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    ACS Style

    Bazuaye Frank Etin-Osa; Musa Alex; Ezeora Jeremiah. Simulation for Mathematical Modelling of the Effects of a Random Disturbance on Biodiversity of Forestry Biomass. Pure Appl. Math. J. 2022, 11(6), 121-125. doi: 10.11648/j.pamj.20221106.14

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    AMA Style

    Bazuaye Frank Etin-Osa, Musa Alex, Ezeora Jeremiah. Simulation for Mathematical Modelling of the Effects of a Random Disturbance on Biodiversity of Forestry Biomass. Pure Appl Math J. 2022;11(6):121-125. doi: 10.11648/j.pamj.20221106.14

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  • @article{10.11648/j.pamj.20221106.14,
      author = {Bazuaye Frank Etin-Osa and Musa Alex and Ezeora Jeremiah},
      title = {Simulation for Mathematical Modelling of the Effects of a Random Disturbance on Biodiversity of Forestry Biomass},
      journal = {Pure and Applied Mathematics Journal},
      volume = {11},
      number = {6},
      pages = {121-125},
      doi = {10.11648/j.pamj.20221106.14},
      url = {https://doi.org/10.11648/j.pamj.20221106.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20221106.14},
      abstract = {Mathematical modelling and simulation of dynamical system have drawn attention in recent times. In addition, there has been so much interest in dynamical characteristics of population model. Forest biomass system happens to play an important role in population dynamics. The study of forests and forestry preservation has gained tremendous attention in government, among individuals and researchers. The ecological dynamical system is highly vulnerable to random perturbation which can be attributed to the other environmental and climatic factors and other characteristics of the ecosystem. However, there are two factors that may have a high potential to influence the performance of biodiversity gain or loss. Therefore, this study focusses on the effect of a random disturbance of five different degrees on the forestry biomass, the density of the wood-based industry and the density of the synthetic based industry. The ODE 45 solver have been used to tackle this problem. We have utilized the technique of a numerical simulation to predict that a higher random noise perturbation has the potential to predict higher degree of biodiversity gain than a lower random noise. The result indicates that not all random noise driven factors do predict biodiversity loss. These are presented and fully discussed. quantitatively.},
     year = {2022}
    }
    

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    AU  - Bazuaye Frank Etin-Osa
    AU  - Musa Alex
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    Y1  - 2022/12/15
    PY  - 2022
    N1  - https://doi.org/10.11648/j.pamj.20221106.14
    DO  - 10.11648/j.pamj.20221106.14
    T2  - Pure and Applied Mathematics Journal
    JF  - Pure and Applied Mathematics Journal
    JO  - Pure and Applied Mathematics Journal
    SP  - 121
    EP  - 125
    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.pamj.20221106.14
    AB  - Mathematical modelling and simulation of dynamical system have drawn attention in recent times. In addition, there has been so much interest in dynamical characteristics of population model. Forest biomass system happens to play an important role in population dynamics. The study of forests and forestry preservation has gained tremendous attention in government, among individuals and researchers. The ecological dynamical system is highly vulnerable to random perturbation which can be attributed to the other environmental and climatic factors and other characteristics of the ecosystem. However, there are two factors that may have a high potential to influence the performance of biodiversity gain or loss. Therefore, this study focusses on the effect of a random disturbance of five different degrees on the forestry biomass, the density of the wood-based industry and the density of the synthetic based industry. The ODE 45 solver have been used to tackle this problem. We have utilized the technique of a numerical simulation to predict that a higher random noise perturbation has the potential to predict higher degree of biodiversity gain than a lower random noise. The result indicates that not all random noise driven factors do predict biodiversity loss. These are presented and fully discussed. quantitatively.
    VL  - 11
    IS  - 6
    ER  - 

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Author Information
  • Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria

  • Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria

  • Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria

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