Lie Symmetry of the Diffusive Lotka–Volterra System with Time-Dependent Coefficients
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 coeffici...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-02-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/10/2/41 |
| 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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| ISSN: | 2073-8994 |