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Complex behaviours of AB model describing idiotypic network (1994)

Zhang, Li-Bing ; Du, Chan-Ying ; Qi, An-Shen

Springer

Bulletin of mathematical biology 56 (1994), S. 323-336

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ISSN: 1522-9602

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract A simple chemical model of the idiotypic network of immune systems, namely the AB model, has been developed by De Boeret al. The complexity of the system, such as the steady states, periodic oscillations and chaotic motions, has been examined by the authors mentioned above. In the present paper, the periodic motions and chaotic behaviours exhibited by the system are intuitively described. To clarify in which parameter domains concerned the system exhibits periodic oscillations and in which parameter domains the system demonstrates chaotic behaviours the Lyapounov exponent is explored. To characterize the strangeness of the attractors, the fractal dimension problem is worked out.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02460645

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