Lie symmetry of the diffusive Lotka-Volterra system with time-dependent coefficients (Q2415044)
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| English | Lie symmetry of the diffusive Lotka-Volterra system with time-dependent coefficients |
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Lie symmetry of the diffusive Lotka-Volterra system with time-dependent coefficients (English)
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20 May 2019
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Summary: 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.
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Lie symmetry
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diffusive Lotka-Volterra system
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time-dependent coefficients
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Lie symmetry classification
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exact solution.
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