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In this article a generalized mathematical model describing the interactionsbetween malignant tumour and immune system with discrete time delayincorporated into the system is considered. Time delay represents the timerequired to generate an immune response due to the immune system activation bycancer cells. The basic mathematical properties of the considered model,including the global existence, uniqueness, non-negativity of the solutions,the stability of steady sates and the possibility of the existence of thestability switches, are investigated when time delay is treated as abifurcation parameter. The model is validated with the sets of the experimentaldata and additional numerical simulations are performed to illustrate, extend,interpret and discuss the analytical results in the context of the tumourprogression.

An immune system-tumour interactions model with discrete time delay: model analysis and validation