Hopf bifurcation analysis and optimal control of treatment in a delayed oncolytic virus dynamics
From MaRDI portal
Publication:1997098
DOI10.1016/j.matcom.2018.01.003OpenAlexW2798876257MaRDI QIDQ1997098
Kwang Su Kim, Il Hyo Jung, Sangil Kim
Publication date: 1 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2018.01.003
Related Items (12)
Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator-prey model ⋮ A fractional-order control model for diabetes with restraining and time-delay ⋮ Multiple colonies of cancer involved in mutual suppression with the immune system ⋮ Analysis of a delayed and diffusive oncolytic M1 virotherapy model with immune response ⋮ Dynamics of a virological model for cancer therapy with innate immune response ⋮ Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects ⋮ Oncolytic viral therapies and the delicate balance between virus-macrophage-tumour interactions: a mathematical approach ⋮ Unnamed Item ⋮ Global dynamics of reaction-diffusion oncolytic M1 virotherapy with immune response ⋮ Dynamic analysis and optimal control of a fractional order model for hand-foot-mouth disease ⋮ Hopf bifurcation analysis of a tumor virotherapy model with two time delays ⋮ A delayed fractional-order tumor virotherapy model: stability and Hopf bifurcation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lytic cycle: A defining process in oncolytic virotherapy
- Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control
- Dynamical behaviors of an HBV infection model with logistic hepatocyte growth
- Delay differential equations: with applications in population dynamics
- A mathematical model of vascular tumor treatment by chemotherapy
- Dynamical behavior of a delay virus dynamics model with CTL immune response
- Analysis of an SIR model with bilinear incidence rate
- Influence of delayed viral production on viral dynamics in HIV-1 infected patients
- Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models
- Differential equations. Classical to controlled
- Modeling the mechanisms of acute hepatitis B virus infection
- The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth
- On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
- Mathematical modeling of cancer radiovirotherapy
- An Intracellular Delay-Differential Equation Model of the HIV Infection and Immune Control
- Dynamics of tumor virotherapy: A deterministic and stochastic model approach
- Dynamics of a delay differential equation model of hepatitis B virus infection
- Mathematical Analysis of HIV-1 Dynamics in Vivo
This page was built for publication: Hopf bifurcation analysis and optimal control of treatment in a delayed oncolytic virus dynamics
