Hopf bifurcation analysis in a delayed system for cancer virotherapy

Ashyani Akram, Hajimohammad Mohammadinejad, Omid RabieiMotlagh

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We consider a planar delay differential equation which is motivated biologically and simulates a cancer virotherapy. The singularities and their local stability are studied using the characteristic equation. Because of biological importance, we investigate a Hopf bifurcation around the interior singularity and determine the stability of corresponding Hopf cycles by computing the normal form of the model in the direction of the Hopf bifurcation.

Original languageEnglish
Pages (from-to)318-339
Number of pages22
JournalIndagationes Mathematicae
Volume27
Issue number1
DOIs
Publication statusPublished - 2016 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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