Dynamics of Compositions of Lotka-Volterra Operators Corresponding to Some Partially Oriented Graphs in a Three-Dimensional Simplex
FARRUKH YUSUPOVTashkent State Transport UniversityD. AHMEDOVAAndijan State University, Andijan. UzbekistanU. SHAMSIYEVATashkent State Transport University
ABI
Abstract
The paper is devoted to the study of the dynamics of the trajectories of the inner pointsof the composition of two quadratic Lotka-Volterra dynamical systems operating in a threedimensional simplex. Four compositional operators are investigated in this work. Fixed pointsare found for them and their characters are investigated by analyzing the Jacobian spectrum.Thecompositions of two discrete dynamic Lotka-Volterra systems are interesting because theycan be applied in epidemiology problems.
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