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Mathematical study of nematode transmission in pine trees through bark beetles

Author

Listed:
  • Hussain, Takasar
  • Ozair, Muhammad
  • Aslam, Adnan
  • Jameel, Sajid
  • Nawaz, Maryum
  • Abdel-Aty, Abdel-Haleem

Abstract

In this work, deterministic model of pine wilt affliction has been worked out qualitatively. On the basis of a threshold parameter known as the “Basic Reproduction Number,” we have analyzed the global behaviour of equilibria. To check the Robustness of proposed model it is applied on exact number of tainted pines in Korea during a decade. Estimated parameters have been used to identify the important factors that contribute significantly in disease enhancement. Artificial Neural Network (ANN), a very efficient technique, has been used for the fitness of curves representing tainted pines and vectors with respect to the most influential factors. In addition, optimal control problem is developed by assuming three controls. We have seen the efficiency of applied control measures numerically.

Suggested Citation

  • Hussain, Takasar & Ozair, Muhammad & Aslam, Adnan & Jameel, Sajid & Nawaz, Maryum & Abdel-Aty, Abdel-Haleem, 2022. "Mathematical study of nematode transmission in pine trees through bark beetles," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005070
    DOI: 10.1016/j.chaos.2022.112297
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    References listed on IDEAS

    as
    1. Kwang Sung Lee, 2014. "Stability Analysis and Optimal Control Strategy for Prevention of Pine Wilt Disease," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, June.
    2. Xiangyun Shi & Guohua Song, 2013. "Analysis of the Mathematical Model for the Spread of Pine Wilt Disease," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, March.
    3. Khan, Muhammad Altaf & Khan, Rizwan & Khan, Yasir & Islam, Saeed, 2018. "A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 205-217.
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