ArticleJournal of biological dynamics2019
Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects.
Article in Journal of biological dynamics, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 1 paper.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
1 citing paper in PubMed, 15 citations in OpenAlex.
- A Mathematical Perspective on the Influence of Allee Effects in Oncolytic Virotherapy.Mathematics (Basel, Switzerland) · 2025Article
Corrections and comments
- Erratum issuedCorrection.2019
Authors and funding
3 authors at 3 institutions in 2 countries.
Funding
Abstract
In this paper, we consider a system of delay differential equations that models the oncolytic virotherapy on solid tumours with the delay of viral infection in the presence of the innate immune response. We conduct qualitative and numerical analysis, and provide possible medical implications for our results. The system has four equilibrium solutions. Fixed point analysis indicates that increasing the burst size and infection rate of the viruses has positive contribution to the therapy. However, increasing the immune killing infection rate, the immune stimulation rate, or the immune killing virus rate may lead the treatment failed. The viral infection time delay induces backward Hopf bifurcations, which means that the therapy may fail before time delay increases passing through a Hopf bifurcation. The parameter analysis also shows how saddle-node and Hopf bifurcations occur as viral burst size and other parameters vary, which yields further insights into the dynamics of the virotherapy.
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