Fractional dynamics of huanglongbing transmission within a citrus tree


Kumar P., Ertürk V. S., Nisar K. S.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.44, no.14, pp.11404-11424, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 14
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.7499
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.11404-11424
  • Keywords: Caputo derivative, citrus tree, huanglongbing (HLB), mathematical model, new generalized Caputo&#8208, type fractional derivative, DIAPHORINA-CITRI, COVID-19
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.