Fractional dynamics of huanglongbing transmission within a citrus tree

The citrus epidemic huanglongbing (HLB), allied with an uncultured bacterial pathogen, is blusterous the industry of citrus worldwide. In this research work, we analysed a fractional huanglongbing model to study the transmission dynamics of the disease. We considered Caputo and new generalized form of Caputo type fractional derivatives to solve the proposed HLB model using two different methods. We exemplified the all necessary graphical observations by the call of real numerical data to show the nature of the given model classes. The analysis regarding to existence of the solution are mentioned with the help of theorems. We observed that the given numerical techniques are strong and worked well to show the dynamics of the model against the time variable.

Automated summary

The study utilized a fractional huanglongbing model to analyze the transmission dynamics of citrus greening disease, solving the model with Caputo and a new generalized form of Caputo type fractional derivatives. Graphical observations with real numerical data were used to show the nature of the model classes, and the analysis of solution existence was supported by theorems. The numerical techniques were found to be strong and effective in showing the dynamics of the model over time.