Time delay in a basic model of the immune response |
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| Affiliation: | 1. Department of Mathematics, Qingdao Technological University, Qingdao 266520, PR China;2. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China;1. School of Science and Technology, Zhejiang International Studies University, Hangzhou 310012, P. R. China;2. Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China;3. Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250, USA |
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| Abstract: | The effects of time delay on the two-dimensional system of Mayer et al., which represents the basic model of the immune response, are analysed (cf. Mayer H, Zaenker KS, an der Heiden U. A basic mathematical model of the immune response. Chaos, Solitons and Fractals 1995;5:155–61). We studied variations of the stability of the fixed points due to the time delay and the possibility for the occurrence of the chaotic solutions. |
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