Journal of Mathematics and Computer Science · 2017 · 32 citations · 10 references
This work is related to an analytical solution of a fractional order epidemic model for the spread of the Pine wilt disease with bilinear incident rate. To obtain an analytical solution of the system of nonlinear fractional differential equations for the considered model. Laplace Adomian decomposition method (LADM) will be used. Comparison of the results have been carried out between the proposed method and that of homotopy purturbation (HPM). Numerical results show that (LADM) is very efficient and accurate for solving fractional order Pine wilt disease model.
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Beyond Perturbation: Introduction to the Homotopy Analysis Method
Shijun Liao, S. A. Sherif · Applied Mechanics Reviews · 2004 · 2.7K citations · Full text
First report of Bursaphelenchus xylophilus in Portugal and in Europe
Manuel Mota, Helen Braasch, M. A. Bravo et al. · Nematology · 1999 · 723 citations