Dynamics of delay-differential equations modelling immunology of tumor growth

DOI10.1016/S0960-0779(00)00275-7zbMath1029.34069WikidataQ126772062 ScholiaQ126772062MaRDI QIDQ1401015

Dragana Todorović, Nikola Buric

Publication date: 17 August 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationimmunologydelay-differential equation

Mathematics Subject Classification ID

Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (15)

Stimulus-locked responses of two phase oscillators coupled with delayed feedback ⋮ Stability and bifurcation analysis in a basic model of the immune response with delays ⋮ Interaction tumor-immune model with time-delay and immuno-chemotherapy protocol ⋮ On initial value problems of fractal delay equations ⋮ THE EFFECT OF TIME SCALE DIFFERENCES AND TIME DELAYS ON THE STRUCTURAL STABILITY OF OSCILLATIONS IN A TWO-GENE NETWORK ⋮ Stochastic hybrid automata with delayed transitions to model biochemical systems with delays ⋮ Complex dynamics of a tumor-immune system with antigenicity ⋮ Stability and bifurcation analysis in a delayed SIR model ⋮ Graphical methods for analysing feedback in biological networks – A survey ⋮ Mathematical modeling of tumor-immune competitive system, considering the role of time delay ⋮ OSCILLATIONS IN AN EXCITABLE SYSTEM WITH TIME-DELAYS ⋮ Complementarity between term-time forcing and delayed vaccination response in explaining irregular dynamics in childhood diseases ⋮ A fractional-order model for zika virus infection with multiple delays ⋮ Qualitative analysis of a simple tumor-immune system with time delay of tumor action ⋮ Sufficiently general framework for simple models of the net immune response

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