Fractional Order Modeling the Gemini Virus in Capsicum annuum with Optimal Control

In this article, a fractional model of the Capsicum annuum (C. annuum) affected by the yellow virus through whiteflies (Bemisia tabaci) is examined. We analyzed the model by equilibrium points, reproductive number, and local and global stability. The optimal control methods are discussed to decrease the infectious B. tabaci and C. annuum by applying the Verticillium lecanii (V. lecanii) with the Atangana-Baleanu derivative. Numerical results described the population of plants and comparison values of using V. lecanni. The results show that using 60% of V. lecanni will control the spread of the yellow virus in infected B. tabaci and C. annuum in 10 days, which helps farmers to afford the costs of cultivating chili plants.

Automated summary

This article examines the effect of the yellow virus on Capsicum annuum (C. annuum) through whiteflies (Bemisia tabaci) using a fractional model. The model is analyzed through equilibrium points, reproductive number, and local and global stability. The study discusses optimal control methods using the Atangana-Baleanu derivative and Verticillium lecanii (V. lecanii) to reduce the spread of the virus. Numerical results demonstrate that using 60% of V. lecanii can control the spread of the yellow virus in infected whiteflies and C. annuum within 10 days.