A fractional order SEIR model with vertical transmission

ÖZALP N., DEMİRCİ E.

MATHEMATICAL AND COMPUTER MODELLING, vol.54, no.1-2, pp.1-6, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 1-2
  • Publication Date: 2011
  • Doi Number: 10.1016/j.mcm.2010.12.051
  • Journal Name: MATHEMATICAL AND COMPUTER MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-6
  • Keywords: SEIR model, Fractional differential equations, Initial value problem, Stability, Numerical solutions
  • Ankara University Affiliated: Yes

Abstract

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.