Interactions in the immune system of human body with a target population of, e.g., bacteria, viruses, antigens, or tumor cells must be considered as a dynamic process. It is argued that tumor growth, considered as a chaotic dynamical system which is sensitive to the initial conditions. It is evident that chaotic models are proposed which fit the observations well. In this present article, a new chaotic three dimensional model of cancer tumour growth, which includes the interactions between tumour cells, healthy tissue cells, and activated immune system cells, clearly leading to chaotic behavior. The dynamics of the model are explored by performing computationally the local equilibria stability, which indicate the conditions where chaotic dynamics can be observed, and show rigorously the existence of chaos in the proposed model.

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