Vol. 20 No. 4, 2017

Modeling of the dynamics of interacting populations: herbivorous animals and plants

Author(s):
Revutskaya O.L., Kulakov M.P., Kolobov A.N.

PDF (2424 К) PP. 9-16.

Abstract:
The authors have proposed and investigated a mathematical model of the «predator – 2 preys» system describing the population dynamics of herbivorous animals and two types of vegetation. It is assumed that herbivorous eat competing plants with different intensity. The research demonstrates a possibility of stable coexistence of interacting species – under certain values of the population parameters. It has been studied the scenarios for the emergence of oscillatory modes in the system.

Keywords:
mathematical modeling, system «predator – prey», herbivorous animals, vegetation, stability, dynamic modes

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