A Fractional-Order Model for Zika Virus Infection with Multiple Delays

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

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

Time delays and fractional order play a vital role in biological systems with memory. In this paper, we propose an epidemic model for Zika virus infection using delay differential equations with fractional order. Multiple time delays are incorporated in the model to consider the latency of the infection in a vector and the latency of the infection in the infected host. We investigate the necessary and sufficient conditions for stability of the steady states and Hopf bifurcation with respect to three time delays τ1, τ2, and τ3. The model undergoes a Hopf bifurcation at the threshold parameters τ1∗, τ2∗, and τ3∗. Some numerical simulations are given to show the effectiveness of obtained results. The numerical simulations confirm that combination of fractional order and time delays in the epidemic model effectively enriches the dynamics and strengthens the stability condition of the model.

Original languageEnglish
Article number4178073
JournalComplexity
Volume2019
DOIs
Publication statusPublished - 2019

ASJC Scopus subject areas

  • Computer Science(all)
  • General

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