Mathematical study of nematode transmission in pine trees through bark beetles

Takasar Hussain, Muhammad Ozair, Adnan Aslam, Sajid Jameel, Maryum Nawaz and Abdel-Haleem Abdel-Aty

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

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.

Keywords: Deterministic model; Artificial Neural Network; Stability; Sensitivity; Optimal control (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005070

DOI: 10.1016/j.chaos.2022.112297

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