https://doi.org/10.1140/epjp/s13360-023-04705-8
Regular Article
Transmission dynamics and control measures of reaction–diffusion pine wilt disease model
1
Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, 32952, Menouf, Egypt
2
Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
3
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
4
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, 11942, Al-Kharj, Saudi Arabia
5
Laboratoire Interdisciplinaire de l’Université Francaise d’Egypte (UFEID Lab), Université Francaise d’Egypte, 11837, Cairo, Egypt
6
Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt
Received:
19
September
2023
Accepted:
16
November
2023
Published online:
4
December
2023
The pine wilt disease is a serious and fatal disease that affects various species of pine trees worldwide. In this work, the conventional temporal-only model for pine wilt disease is extended to incorporate the spatial influences on the model dynamics. Firstly, the existence and uniqueness of the solution, along with its positivity and boundedness, are all investigated. Secondly, the stability of equilibrium points is analyzed for diffusive and non-diffusive versions of the model. The regions of stability in the space of key parameters are evaluated to explore possible control measures to conceal the spread of the disease and stabilize the disease-free equilibrium point. The possible occurrence of Turing -instability is examined for the present model. Two efficient schemes for the NSFD numerical method are employed to confirm theoretical results. The stability and convergence analysis of the two schemes is provided, followed by numerical experiments that cover different scenarios for the pine wilt disease dynamics.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
