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The process of changing the concentration of enrofloxacin in blood plasma in cats after single intravenous injection was identified by three mathematical models - algebraic and two models represented respectively by a first order differential equation and a second order differential equation. In order to select the best model of the three, the Akaike information criterion corrected is used. With the most identification parameters differs the model based on a second-order differential equation. The lowest value of the Akaike information criterion corrected was also obtained with it. This fact gives reason to choose it for the best model for describing the research process.

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Phase space is an approach for analysis of nonlinear differential equations. The graphical solutions that are obtained are convenient for qualitative assessment of the behavior of systems and processes. A comparative analysis of the pharmacokinetics of the antibiotic enrofloxacin administered intravenously in dogs and cats has been performed in the present study. The mathematical models that represent the change in blood plasma concentration of the two groups of animals are described by second-order differential equations. For the graphical representation of phase trajectories using the fluoroquinolone, the Mathcad program tools are used. The properties of the peculiar points are determined based on the received images.

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