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Multiple limit cycles in an immune system

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Abstract

The nonlinear oscillatory phenomenon has been observed in the system of immune response, which corresponds to the limit cycles in the mathematical models. We prove that the system simulating an immune response studied by Huang has at least three limit cycles in the system. The conditions for the multiple limit cycles are useful in analyzing the nonlinear oscillation in immune response.

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Correspondence to Xun-cheng Huang.

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Huang, Xc., Zhu, Lm. & Villasana, M. Multiple limit cycles in an immune system. Acta Math. Appl. Sin. Engl. Ser. 24, 177–184 (2008). https://doi.org/10.1007/s10255-005-5040-z

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  • DOI: https://doi.org/10.1007/s10255-005-5040-z

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