| Subject |
Mathematical and computer modelling |
| Title |
Nonlinear matrix modeling of macro system asymptotic behavior |
| Author(s) |
Irina Pankratova, Pavel Inchin |
| Keywords |
dynamical system, nonlinear matrix models, computer simulation |
| Abstract |
We propose a class of nonlinear matrix models for
describing the dynamics of model and real macro systems in the presence of limiting factors. The results of the qualitative theory developed by the authors for this class of models are essentially used in modelling [1]. An algorithm for the numerical realization of models is presented by computer simulation of the dynamics of many-group biological population. Both models and
algorithm for their numerical realization provide obtaining qualitative and quantitative description of macro system dynamics taking into account many factors implemented in models by appropriate limiting functions and matrices of parameters without any limitation of the number of macro system components. The algorithm is very useful when the periods of asymptotically stabilized structure of macro system is greater than the number of system parameters i.e. the entries of system matrix.
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