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A model of immune system with time-dependent immune reactivity. (English) Zbl 1166.34042

To study the effect of a fluctuating environment, the authors modify the Marchuk model by assuming the immune coefficient and the rate of production of antibodies to be time-dependent. Special attention is paid to the periodic case to study the existence of periodic solutions.

MSC:

34K60 Qualitative investigation and simulation of models involving functional-differential equations
34K13 Periodic solutions to functional-differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
92C99 Physiological, cellular and medical topics
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References:

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[9] Bodnar, M.; Foryś, U., A model of immune system with time depended immune reactivity, (Proceedings of the XII National Conference Application of Mathematics in Biology and Medicine, Koninki, September 25-29 (2006)), 19-24 · Zbl 1166.34042
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