Solution of a dengue fever model via fractional natural decomposition and modified predictor-corrector methods

Kumar P., Gao W., Veeresha P., Ertürk V. S., Prakasha D. G., Baskonus H. M.

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING, cilt.15, sa.1, 2024 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s1793962324500077
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: Dengue fever, mathematical model, Liouville-Caputo derivative, new generalized Caputo derivative, fractional natural decomposition method, modified Predictor-Corrector algorithm, CAPUTO, DERIVATIVES, DISEASE
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we solved a model of a well-known infectious disease called dengue fever via fractional natural decomposition and modified Predictor-Corrector (PC) methods. A study of the dengue epidemic in the Cape Verde Islands off the coast of West Africa in 2009 has been resumed here for a better understanding of the results. The results are obtained using Liouville-Caputo and new generalized Caputo-type fractional derivatives. The numerical simulations are presented for various orders of given derivatives. Existence and uniqueness analysis of the given problem are also performed in the new generalized Caputo sense. The explored results are verified using figures. The main target of this paper is to explore the different dynamics of the given dengue fever model via two types of fractional numerical algorithms.