For citation:
Pankratova I. N. Representation of many-group population model as one-species population model with many parameters. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 6, pp. 135-142. DOI: 10.18500/0869-6632-2005-13-5-135-142
Representation of many-group population model as one-species population model with many parameters
We propose a dynamic system determined by a many-dimensional logistic map as a variant of a nonlinear model for dynamics of a biological many-group population. In some parts of a compact phase space the map displays a behavior which is atypical for a oneparameter one-dimensional logistic map. For a many-group population model it means stepwise changes of a total population density and densities of population age groups. We have an opportunity of getting a total population age groups changing periodically with the same period in many various parts of a phase space. A mechanism of dynamics originated in this manner for such a many-group population is discussed.
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