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.v1i1.13Ключевые слова:
Lotka–Volterra mapping, oriented graph, fixed point, repeller, attractor.Аннотация
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.
The compositions of two discrete dynamic Lotka-Volterra systems are interesting because they can be applied in epidemiology problems.
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