New Conditional Symmetries and Exact Solutions of the Diffusive Two-Component Lotka–Volterra System

Roman Cherniha and Vasyl’ Davydovych
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Roman Cherniha: Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivs’ka Street, 01601 Kyiv, Ukraine
Vasyl’ Davydovych: Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivs’ka Street, 01601 Kyiv, Ukraine

Mathematics, 2021, vol. 9, issue 16, 1-17

Abstract: The diffusive Lotka–Volterra system arising in an enormous number of mathematical models in biology, physics, ecology, chemistry and society is under study. New Q -conditional (nonclassical) symmetries are derived and applied to search for exact solutions in an explicit form. A family of exact solutions is examined in detail in order to provide an application for describing the competition of two species in population dynamics. The results obtained are compared with those published earlier as well.

Keywords: diffusive Lotka–Volterra system; nonclassical symmetry; Q -conditional symmetry of the first type; exact solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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