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arXiv · 1012.5747

Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system

Roman Cherniha·Vasyl' Davydovych
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Abstract

Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant non-Lie ans\"atze to reduce the classical Lotka-Volterra systems with correctly-specified coefficients to ODE systems and examples of new exact solutions are found. A possible biological interpretation of some exact solutions is presented.

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Roman Cherniha, Vasyl' Davydovych. 2010-12-28. Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system. https://doi.org/10.1016/j.mcm.2011.03.035

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