THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

NEW PERSPECTIVE TO DISEASE AND INSECT INFECTION MODEL

ABSTRACT
The main purpose of this paper is to study a class of forest disease and insect infection models with time delay. The exact solutions are successfully obtained by using the homotopy perturbation method.
KEYWORDS
PAPER SUBMITTED: 2024-03-20
PAPER REVISED: 2024-03-28
PAPER ACCEPTED: 2024-05-15
PUBLISHED ONLINE: 2024-09-28
DOI REFERENCE: https://doi.org/10.2298/TSCI2404535Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3535 - 3539]
REFERENCES
  1. Ghotbi, A. R., et al., Application of Homotopy Perturbation And Variational Iteration Methods to SIR Epidemic Model, Journal of Mechanics in Medicine and Biology, 11 (2011), 1, pp. 149-161
  2. Mungkasi, S., Variational Iteration and Successive Approximation Methods for a SIR Epidemic Model with Constant Vaccination Strategy, Applied Mathematical Modelling, 90 (2021), Feb., pp. 1-10
  3. Wang, K. L., Novel Analytical Approach to Modified Fractal Gas Dynamics Model with the Variable Coefficients, ZAMM-Zeitschrift Fur Angewandte Mathematik Und Mechanik, 103 (2023), 6, 202100391
  4. Wang, K. L., Wei, C. F., Novel Optical Soliton Solutions to Nonlinear Paraxial Wave Model, Modern Physics Letters B, 2024 (2024), ID2450469
  5. Arora, G., et al., Comparison of Variational Iteration and Adomian Decomposition Methods to Solve Growth, Aggregation and Aggregation-Breakage Equations, Journal of Computational Science, 67 (2023), 3, 101973
  6. Naik, P. A., et al., Estimating the Approximate Analytical Solution of HIV Viral Dynamic Model by Using Homotopy Analysis Method, Chaos, Solitons and Fractals, 131 (2020), 2, 109500
  7. Wang, K. L., New Mathematical Approaches to Non-Linear Coupled Davey-Stewartson Fokas System Arising in Optical Fibers, Mathematical Methods in the Applied Sciences, On-line first, doi.org/10.1002/mma.10175, 2024
  8. Wang, K. L., Novel Perspective To The Fractional Schrodinger Equation Arising in Optical Fibers, Fractals, 32 (2024), 2, 2450034
  9. Wang, K. L., Novel Solitary Wave and Periodic Solutions for the Non-Linear Kaup-Newell Equation in Optical Fibers, Optical and Quantum Electronics, 56 (2024), 2, 514
  10. Liu, J. G., et al., On the Generalized Time Fractional Diffusion Equation: Symmetry Analysis, Conservation Laws, Optimal System and Exact Solutions, International Journal of Geometric Methods in Modern Physics, 17 (2020), 1, 2050013
  11. Wang, K. L., Novel soliton Solutions of Fractional Long and Short-Wave Interaction System, Fractals, 32 (2024), 1, 2450023
  12. Wei, C. F., A New Fractal Modelling for the Nerve Impulses Based on Local Fractional Derivative, Fractals, 32 (2024), 4, 2440027
  13. Yang, X. J., et al., Anomalous Diffusion Models and Mandelbrot Scaling-Law Solutions, Fractals, 33 (2024), 4, 2340119
  14. He, J. H., Homotopy Perturbation Technique, Computer Methods in Applied Mechanics and Engineering, 178 (1999), 3-4, pp. 257-262
  15. Madani, M., et al., On the Coupling of the Homotopy Perturbation Method and Laplace Transformation, Mathematical and Computer Modelling, 53 (2011), 9-10, pp. 1937-1945
  16. Singh, J., et al., Homotopy Perturbation Sumudu Transform Method for Non-Linear Equations, Mathematics, 4 (2011), 4, pp. 165-175
  17. Agarwal, G., et al., Analysis and Estimation of the COVID-19 Pandemic by Modified Homotopy Perturbation Method, Applied Mathematics in Science and Engineering, 31 (2023), 2, 2279170
  18. Fei, X. Y., et al., A Kind of Forest Disease and Pest Infection Model with Time Delay (in Chinese), Journal of Harbin University of Science and Technology, 2023 (2023), 1, pp. 1-21

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence