Dynamics of Compositions of Lotka-Volterra OperatorsCorresponding to Some Partially Oriented Graphs in aThree-Dimensional Simplex
Dynamics of Compositions of Lotka-Volterra Operators ...
DOI:
https://doi.org/10.56143/ujmcs.v1i1.13Keywords:
Lotka–Volterra mapping, oriented graph, fixed point, repeller, attractor.Abstract
The paper is devoted to the study of the dynamics of the trajectories of the inner points of the composition of two quadratic Lotka-Volterra dynamical systems operating in a three-dimensional simplex. Four compositional operators are investigated in this work. Fixed points are found for them and their characters are investigated by analyzing the Jacobian spectrum.
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