International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 6, Issue 9 (September 2019), Pages: 13-19

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 Original Research Paper

 Title: A dynamical transmission with nonstandard finite difference scheme for pine wilt disease

 Author(s): Ali Raza, Zahid Hussain, Muhammad Farman *, Aqeel Ahmad, Muhammad Sajid Iqbal

 Affiliation(s):

 Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0001-7616-0500

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2019.09.002

 Abstract:

In this article, we present and examine a mathematical system of equations which describes the dynamics of pine wilt disease. A non-linear mathematical model is employed to study and assess the dynamics of pine wilt disease in a wild life. We prove the essential properties, bounded, positivity and well-posed, also local and global stability analysis has been made for the epidemic model. The sensitivity analysis of the model is provided by threshold or reproductive number as well as analyzed qualitatively. To control the spread of the infection, we develop a control strategy by applying three control variables. An unconditionally convergent nonstandard finite difference scheme has been employed to solve model with different compartment. Finally, numerical results are depicted graphically and discussed quantitatively. 

 © 2019 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Pine welt, Stability analysis, Sensitivity analysis, Well-posed, Boundedness, NSFD

 Article History: Received 28 February 2019, Received in revised form 22 June 2019, Accepted 25 June 2019

 Acknowledgement:

No Acknowledgement.

 Compliance with ethical standards

 Conflict of interest:  The authors declare that they have no conflict of interest.

 Citation:

 Raza A, Hussain Z, and Farman M et al. (2019). A dynamical transmission with nonstandard finite difference scheme for pine wilt disease. International Journal of Advanced and Applied Sciences, 6(9): 13-19

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6

 Tables

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