A fractional order SEIR model with vertical transmission

ÖZALP N., DEMİRCİ E.

MATHEMATICAL AND COMPUTER MODELLING, cilt.54, sa.1-2, ss.1-6, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 1-2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2010.12.051
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-6
  • Anahtar Kelimeler: SEIR model, Fractional differential equations, Initial value problem, Stability, Numerical solutions
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a fractional order SEIR model with vertical transmission within a nonconstant population. We show that the model introduced in this paper has nonnegative solutions. We give a detailed analysis for the asymptotic stability of disease free and positive fixed points. Numerical simulations are also presented to verify the obtained results. (C) 2011 Elsevier Ltd. All rights reserved.