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Qualitative analysis of second-order models of tumor-immune system competition. (English) Zbl 1145.34303
Summary: This paper deals with the qualitative analysis, existence of equilibria and asymptotic behavior of some second-order models of the competition between tumor and immune cells. The background model belongs to {\it A. d’Onofrio} [Physica D 208, No. 3--4, 220--235 (2005; Zbl 1087.34028); Math. Models Methods Appl. Sci. 16, No. 8, 1375--1401 (2006; Zbl 1094.92040)]. Various developments proposed in this paper are focussed on the hiding-learning dynamics, followed by the qualitative analysis.

MSC:
34A34Nonlinear ODE and systems, general
92C50Medical applications of mathematical biology
92D25Population dynamics (general)
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References:
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