Hopf bifurcation in Marchuk's model of immune reactions

DOI10.1016/S0895-7177(01)00094-2zbMath0999.92023OpenAlexW2140832758MaRDI QIDQ1600496

Urszula Fory's

Publication date: 13 June 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00094-2

zbMATH Keywords

Hopf bifurcationsdelay differential equationsantibodiesantigensplasma cellsstable and unstable periodic orbits

Mathematics Subject Classification ID

Medical applications (general) (92C50) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (5)

Stochastic stability and bifurcation for the chronic state in Marchuk's model with noise ⋮ Time delays in proliferation process for solid avascular tumour ⋮ On a nonlinear nonautonomous predator--prey model with diffusion and distributed delay ⋮ A model of immune system with time-dependent immune reactivity ⋮ Stability and bifurcations for the chronic state in Marchuk's model of an immune system

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• Oscillation and global stability in a delay logistic equation
• Periodic dynamics in a model of immune system
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