Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects

DOI10.1080/17513758.2019.1667443zbMath1448.92098OpenAlexW2974738534WikidataQ90159095 ScholiaQ90159095MaRDI QIDQ3304318

Jianjun Paul Tian, Ben Niu, Yuxiao Guo

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2019.1667443

zbMATH Keywords

oncolytic virotherapyinnate immune responseinfection delaybackward Hopf bifurcation

Mathematics Subject Classification ID

Medical applications (general) (92C50) Bifurcation theory of functional-differential equations (34K18)

Related Items (6)

On a mathematical model of tumor-immune system interactions with an oncolytic virus therapy ⋮ On a three-dimensional and two four-dimensional oncolytic viro-therapy models ⋮ A general non-local delay model on oncolytic virus therapy ⋮ Natural killer cells recruitment in oncolytic virotherapy: a mathematical model ⋮ Complex dynamic behaviors of a tumor-immune system with two delays in tumor actions ⋮ A delayed fractional-order tumor virotherapy model: stability and Hopf bifurcation

Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
• Unnamed Item
• Lytic cycle: A defining process in oncolytic virotherapy
• Periodic solutions of a model for tumor virotherapy
• Modeling and analysis of a virus that replicates selectively in tumor cells
• Hopf bifurcation analysis in a delayed system for cancer virotherapy
• A mathematical approach to effects of CTLs on cancer virotherapy in the second injection of virus
• ODE models for oncolytic virus dynamics
• The role of the innate immune system in oncolytic virotherapy
• Modeling of cancer virotherapy with recombinant measles viruses
• The replicability of oncolytic virus: defining conditions in tumor virotherapy
• Hopf bifurcation analysis and optimal control of treatment in a delayed oncolytic virus dynamics
• A mathematical model of oncolytic virotherapy with time delay
• Optimization of virotherapy for cancer
• Mathematical and computational modeling for tumor virotherapy with mediated immunity
• A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM
• A NONLINEAR DELAY MODEL DESCRIBING THE GROWTH OF TUMOR CELLS UNDER IMMUNE SURVEILLANCE AGAINST CANCER AND ITS STABILITY ANALYSIS
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

This page was built for publication: Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects