Symmetries and exact solutions of the diffusive Lotka-Volterra system

Speaker(s)

Roman Cherniha

Affiliation

NAS of Ukraine and University Kyiv Mohyla Academy

Date

May 26, 2010, 4:15 p.m.

Room

room 5820

Seminar

Seminar of Biomathematics and Game Theory Group

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Lie and conditional symmetries of the classical Lotka-Volterra sys- tem inthe case of one space variable are completely described and sets of suchsymmetries in explicit form are constructed. These symmetries are used toreduce the classical Lotka-Volterra systems with correctly- specifiedcoefficients to ODE systems and examples of exact solutions in explicitform are found. The properties of the obtained solutions are examined withthe aim to provide the relevant interpretation for population dynamics. 

 

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