Simplification of ecosystem model on the basis of characteristic times analysis
This work represents one lecture (from the course of lectures "Mathematical modeling of biological processes") adapted for article format. Main attention is paid to the simplification of soil carbon dynamics model. The application of the Tikhonov's theorem (for reduction of the equations number) is shown for this model. Analytical solution of the simplified equations for this model is described in details. The comparison of the numerical solution of full model and the reduced model is given. The McKendrick-Pai's model and Verhulst-Pearl''s logistic equation are given (and are investigated analytically). Estimations of the operation number for some typical problems of biological kinetics and mathematical ecology are provided. The estimations showed a sufficient usefulness of simplifications even under the conditions of rapid development of computer technology presently.