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Multiscaling analysis of a slowly varying anaerobic digestion model. (English) Zbl 07271478
Summary: We construct the slowly varying limiting state solutions to a nonlinear dynamical system for anaerobic digestion with Monod-based kinetics involving slowly varying model parameters arising from slow environmental variation. The advantage of these approximate solutions over numerical solutions is their applicability to a wide range of parameter values. We use these limiting state solutions to develop analytic approximations to the full nonlinear system by applying a multiscaling technique. The approximate solutions are shown to compare favorably with numerical solutions.
MSC:
34C60 Qualitative investigation and simulation of ordinary differential equation models
92C50 Medical applications (general)
34E13 Multiple scale methods for ordinary differential equations
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
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