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Symmetry 2018, 10(2), 41; https://doi.org/10.3390/sym10020041

Lie Symmetry of the Diffusive Lotka–Volterra System with Time-Dependent Coefficients

Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs’ka Street 3, 01004 Kyiv, Ukraine
Received: 14 December 2017 / Revised: 26 January 2018 / Accepted: 30 January 2018 / Published: 3 February 2018
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Abstract

Lie symmetry classification of the diffusive Lotka–Volterra system with time-dependent coefficients in the case of a single space variable is studied. A set of such symmetries in an explicit form is constructed. A nontrivial ansatz reducing the Lotka–Volterra system with correctly-specified coefficients to the system of ordinary differential equations (ODEs) and an example of the exact solution with a biological interpretation are found. View Full-Text
Keywords: [-5]Lie symmetry; diffusive Lotka–Volterra system; time-dependent coefficients; Lie symmetry classification; exact solution. [-5]Lie symmetry; diffusive Lotka–Volterra system; time-dependent coefficients; Lie symmetry classification; exact solution.
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Davydovych, V. Lie Symmetry of the Diffusive Lotka–Volterra System with Time-Dependent Coefficients. Symmetry 2018, 10, 41.

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