Mathematical Study of Plant Disease Model using Atangana-Baleanu Fractional Operators with Beddington-DeAngelis Incidence

Abstract

This study discusses vector-borne plant epidemics through the Atangana-Baleanu type fractional model, considering the Beddington-DeAngelis functional response. A unique global solution has been developed through the Picard-Lindelof method. A numerical scheme for obtaining the solutions of plant disease model has been developed. Several graphical interpretations expressing the obtained solutions have been discussed, and many novel results have been observed through the variation of fractional order. This work leads to the idea of application of fractional derivatives in the field of plant epidemiology. The use of the Atangana-Baleanu derivative is novelty of this work, which explores many features that are missed by using the ordinary derivative.