Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
Mathematical Physics
2019-09-17 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1012.5747,
title = {Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system},
author = {Roman Cherniha and Vasyl' Davydovych},
journal= {arXiv preprint arXiv:1012.5747},
year = {2019}
}