The dynamical behaviors for a class of immunogenic tumor model with delay

DOI10.1155/2017/1642976zbMath1398.92111OpenAlexW2766892162WikidataQ47286119 ScholiaQ47286119MaRDI QIDQ1784122

Zijian Liu, Mutei Damaris Muthoni, Ping Bi, Jian-Hua Pang

Publication date: 26 September 2018

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/1642976

zbMATH Keywords

Hopf bifurcationimmunogenic tumor model

Mathematics Subject Classification ID

Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20)

Related Items (2)

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative ⋮ Nonlinear dynamics in tumor-immune system interaction models with delays

Cites Work

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• Hopf bifurcation in a delayed model for tumor-immune system competition with negative immune response
• Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
• A mathematical model of tumor-immune evasion and siRNA treatment
• Bifurcations of tumor-immune competition systems with delay
• Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
• Hopf bifurcation analysis and numerical simulations in an ODE model of the immune system with positive immune response
• Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models
• Hopf Bifurcation in Differential Equations with Delay for Tumor–Immune System Competition Model

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