A NONLINEAR DELAY MODEL DESCRIBING THE GROWTH OF TUMOR CELLS UNDER IMMUNE SURVEILLANCE AGAINST CANCER AND ITS STABILITY ANALYSIS

DOI10.1142/S1793524512600170zbMath1280.92013MaRDI QIDQ5397032

Wanbiao Ma, Ling Chen

Publication date: 5 February 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

time delayHopf bifurcationdifferential equationlocal asymptotic stabilityimmune surveillance

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) General biology and biomathematics (92B05)

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Cites Work

• Delay differential equations: with applications in population dynamics
• Multiple solutions of a model describing cancerous growth
• Bistability in fluctuating environments. Implications in tumor immunology
• Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
• Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
• Hopf bifurcation analysis of two neurons with three delays
• Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays

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