Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission

Eric Avila-Vales, Noé Chan-Chí, Gerardo E. García-Almeida, Cruz Vargas-De-León

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

In this paper we study a model of HCV with saturation and delay, we stablish the local and global stability of system also we stablish the occurrence of a Hopf bifurcation. We will determine conditions for the permanence of model, and the length of delay to preserve stability. We present a sensitivity analysis for the basic reproductive number.

Original languageEnglish
Pages (from-to)293-312
Number of pages20
JournalApplied Mathematics and Computation
Volume259
DOIs
StatePublished - 15 May 2015
Externally publishedYes

Keywords

  • Global stability
  • Hopf bifurcation
  • Local stability
  • Permanence
  • Sensitivity analysis

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