Open Access

ARTICLE

Numerical Analysis of Stochastic Vector Borne Plant Disease Model

Kamaledin Abodayeh¹, Ali Raza², Muhammad Shoaib Arif^{2, *}, 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: .

Computers, Materials & Continua 2020, 63(1), 65-83. https://doi.org/10.32604/cmc.2020.08838

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.

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Keywords

Vector borne plant model, stochastic numerical systems, stability.

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Citations