# Numerical analysis of fractional order Pine wilt disease model with bilinear incident rate

Volume 17, Issue 3, pp 420-428 Publication Date: August 07, 2017       Article History
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### Authors

Yongjin Li - Department of Mathematics, Sun Yat-sen University, Guangzhou, China.
Fazal Haq - Department of Mathematics, Hazara University Mansehra, Pakistan.
Kamal Shah - Department of Mathematics, University of Malakand, Chakdara Dir(L), Pakistan.
Ghaus ur Rahman - Department of Mathematics and Statistics, University of Swat, Pakistan.

### Abstract

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.

### Keywords

• Pine Wilt Disease
• bilinear incident rate
• fractional derivatives
• analytical solution.

•  34A08
•  65P99

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