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Damped oscillating processes in biological and biochemical systems

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Abstract

Damped nonlinear oscillations in biological and biochemical systems are investigated by the extended Krylov-Bogoliubov-Mitropolskii (KBM) method. A review on the extension made by Popov to the KBM method is given and also further improvements are presented. Applications are made to models of oscillating chemical reactions (Lefever and Nicolis, 1971), FitzHugh (1961) equations, and population dynamics (Gatto and Rinaldi, 1977). Comparison to damped oscillating physical and engineering systems is made.

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  1. Department of Mathematics, Simon Fraser University, V5A 1S6, Burnaby, B.C., Canada

    G. N. Bojadziev

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  1. G. N. Bojadziev
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Bojadziev, G.N. Damped oscillating processes in biological and biochemical systems. Bltn Mathcal Biology 42, 701–718 (1980). https://doi.org/10.1007/BF02460988

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  • DOI: https://doi.org/10.1007/BF02460988

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