This paper is concerned with analytical investigations on the competition between cancer cells and immune system cells. Specifically the role of the B-cells and T-cells in the evolution of cancer cells is taken into account. The mathematical model is a Kolmogorov-type system of three evolution equations where the growth rate of the cells is described by logistic law and the response of B-cells and T-cells is modeled according to Holling type-II function. The stability analysis of equilibrium points is performed and the persistence of the model is proved.
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Research Article| October 17 2013
Persistence analysis in a Kolmogorov-type model for cancer-immune system competition
AIP Conf. Proc. 1558, 1797–1800 (2013)
C. Bianca, F. Pappalardo, M. Pennisi, M. A. Ragusa; Persistence analysis in a Kolmogorov-type model for cancer-immune system competition. AIP Conf. Proc. 17 October 2013; 1558 (1): 1797–1800. https://doi.org/10.1063/1.4825874
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