# 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 Submission Date: June 12, 2017
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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. Muhammad Shahzad - Department of Mathematics, Hazara University Mansehra, 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.

### Share and Cite

##### ISRP Style

Yongjin Li, Fazal Haq, Kamal Shah, Muhammad Shahzad, Ghaus ur Rahman, Numerical analysis of fractional order Pine wilt disease model with bilinear incident rate, Journal of Mathematics and Computer Science, 17 (2017), no. 3, 420-428

##### AMA Style

Li Yongjin, Haq Fazal, Shah Kamal, Shahzad Muhammad, Rahman Ghaus ur, Numerical analysis of fractional order Pine wilt disease model with bilinear incident rate. J Math Comput SCI-JM. (2017); 17(3):420-428

##### Chicago/Turabian Style

Li, Yongjin, Haq, Fazal, Shah, Kamal, Shahzad, Muhammad, Rahman, Ghaus ur. "Numerical analysis of fractional order Pine wilt disease model with bilinear incident rate." Journal of Mathematics and Computer Science, 17, no. 3 (2017): 420-428

### Keywords

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

•  34A08
•  65P99

### References

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