Analysis of models of the dynamics of the age structure of biological populations with non-linear birth processes
1 Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
dynamics of the age structure, non-linear birth processes
Abstract
We consider continuous model of the dynamic age structure for an isolation population with nonlinear birth-rate. For a mathematical model, which is a boundary value problem for a rst order partial dierential equation, we prove the existence and uniqueness theorem. We also study the existence and stability of a stationary distributions for the age structure.
Cite
- ACS Style
- Matsenko, V.G. Analysis of models of the dynamics of the age structure of biological populations with non-linear birth processes. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Matsenko VG. Analysis of models of the dynamics of the age structure of biological populations with non-linear birth processes. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Vasyl Grigorovich Matsenko. 2017. "Analysis of models of the dynamics of the age structure of biological populations with non-linear birth processes". Bukovinian Mathematical Journal. 4 no. 3-4.
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