Numerical Analysis of Stochastic Vector Borne Plant Disease Model
- Kamaledin Abodayeh1, Ali Raza2, Muhammad Shoaib Arif2, *, Muhammad Rafiq3, Mairaj Bibi4, Rabia Fayyaz4
1 Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
2 Stochastic Analysis & Optimization Research Group, Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan.
3 Faculty of Engineering, University of Central Punjab, Bathinda, Lahore, Pakistan.
4 Department of Mathematics, Comsats University, Chak Shahzad Campus, Islamabad, Pakistan.
* Corresponding Author: Muhammad Shoaib Arif. Email: shoaib.arif@mail.au.edu.pk.
2 Stochastic Analysis & Optimization Research Group, Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan.
3 Faculty of Engineering, University of Central Punjab, Bathinda, Lahore, Pakistan.
4 Department of Mathematics, Comsats University, Chak Shahzad Campus, Islamabad, Pakistan.
* Corresponding Author: Muhammad Shoaib Arif. Email: shoaib.arif@mail.au.edu.pk.
Received 15 October 2019; Accepted 12 November 2019; Issue published 30 March 2020
Abstract
We are associating the solutions of stochastic and deterministic vector borne plant disease model in this manuscript. The dynamics of plant model depends upon threshold number P∗. If P∗ <1 then condition helpful to eradicate the disease in plants while P∗ >1 explains the persistence of disease. Inappropriately, standard numerical systems do not behave well in certain scenarios. We have been proposed a structure preserving stochastic non-standard finite difference system to analyze the behavior of model. This system is dynamical consistent, positive and bounded as defined by Mickens.
Keywords
Vector borne plant model, stochastic numerical systems, stability.
Cite This Article
Abodayeh, K., Raza, A., Arif, M. S., Rafiq, M., Bibi, M. et al. (2020). Numerical Analysis of Stochastic Vector Borne Plant Disease Model. CMC-Computers, Materials & Continua, 63(1), 65–83.
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