Hopf bifurcation analysis in a delayed oncolytic virus dynamics with continuous control

DOI10.1007/s11071-011-0015-5zbMath1242.92036OpenAlexW2001001640MaRDI QIDQ437224

Shuli Wang, Xinyu Song, Shaoli Wang

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0015-5

zbMATH Keywords

periodic solutionsHopf bifurcationstime delays

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Application models in control theory (93C95) Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Control problems for functional-differential equations (34K35) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60)

Related Items (12)

Dynamical behavior of a new oncolytic virotherapy model based on gene variation ⋮ A mathematical model verifying potent oncolytic efficacy of M1 virus ⋮ A deterministic and stochastic model for the system dynamics of tumor-immune responses to chemotherapy ⋮ Control strategies for a tumor-immune system with impulsive drug delivery under a random environment ⋮ Computational analysis on Hopf bifurcation and stability for a consumer-resource model with nonlinear functional response ⋮ Stability analysis for a time-delayed nonlinear predator-prey model ⋮ Hopf bifurcation analysis and optimal control of treatment in a delayed oncolytic virus dynamics ⋮ Stability analysis of nonlinear time-delayed systems with application to biological models ⋮ Hopf bifurcation analysis of a tumor virotherapy model with two time delays ⋮ Modeling the virus-induced tumor-specific immune response with delay in tumor virotherapy ⋮ A delayed fractional-order tumor virotherapy model: stability and Hopf bifurcation ⋮ Complex dynamic behavior in a viral model with state feedback control strategies

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