ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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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

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
517.9, 517.958

Representation of many-group population model as one-species population model with many parameters

Autors: 
Pankratova Irina Nikolaevna, The Republican State Enterprise "Institute of Mathematics of the Ministry of Education and Science of the Republic of Kazakhstan"
Abstract: 

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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Reference: 
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Received: 
10.09.2005
Accepted: 
30.09.2005
Published: 
28.02.2006
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