Abstract
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.
Highlights
IntroductionGrowth of Capsicum annuum (chili plant) [1,2] is excessive in the mid-hill region of
Academic Editors: RiccardoGrowth of Capsicum annuum [1,2] is excessive in the mid-hill region ofIndia
Motivated by [22,23,28,30], this document discusses the fractional model of Geminivirus in C. annuum with AB-derivative via optimal control and stability analysis
Summary
Growth of Capsicum annuum (chili plant) [1,2] is excessive in the mid-hill region of. To reduce the populations of white-flies, systemic insecticides are applied to control the spread of the virus, as well as to cure the infected white-fly insect and plants, like rust fungi, etc., who have the host cyclodepsipeptide toxin This toxin was produced via the mycelium of entomopathogenic fungi (Verticillium lecanii) [6,7,8]. To the best of our knowledge, the study of the C. annuum of the yellow virus with optimal control by applying the AB-derivative to the model is yet to come. Motivated by [22,23,28,30], this document discusses the fractional model of Geminivirus in C. annuum with AB-derivative via optimal control and stability analysis.
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