Distributed order hantavirus model and its nonstandard discretizations and stability analysis


Kocabiyik M., Ongun M.

Mathematical Methods in the Applied Sciences, cilt.48, sa.2, ss.2404-2420, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/mma.10442
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.2404-2420
  • Anahtar Kelimeler: distributed order differential equations, epidemic system solutions, hantavirus model, nonstandard finite difference scheme
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

It is crucial to understand the effects of deadly viruses on humans in advance. One such virus is the infectious hantavirus. Since the effects of viruses vary under different conditions, this study models the virus using distributed order differential equations. Because distributed order differential equations effectively capture variable effects in different conditions through the incorporated density function, this study aims to achieve a solution via the discretization method after presenting the equation system. A nonstandard finite difference scheme (NSFD) is used for the discretization. Then the stability analysis of the discretized system is investigated.