Analysis of fixed points and dynamics in Lotka-Volterra systems applied to epidemiology.
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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YUSUPOV et al. (2025) studied this question.
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