A fractional-order model for Ebola virus infection with delayed immune response on heterogeneous complex networks

V. Preethi Latha, Fathalla A. Rihan, R. Rakkiyappan, G. Velmurugan

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

Most of the biological systems have long-range temporal memory and modeling of such systems by fractional-order differential equations has more advantages than classical models with integer-orders. In this paper, we provide a fractional-order Ebola virus epidemic model with delayed immune response on heterogeneous complex networks. The time-delay is introduced in the cytotoxic T-lymphocyte (CTLs) term. Based on fractional Laplace transform, some conditions on stability are derived for the model. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.

Original languageEnglish
Pages (from-to)134-146
Number of pages13
JournalJournal of Computational and Applied Mathematics
Volume339
DOIs
Publication statusPublished - Sep 2018

Keywords

  • CTL response
  • Complex networks
  • Ebola virus
  • Stability
  • Time-delay

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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