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

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

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 soluti...

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Veröffentlicht in:Mathematics (Basel) 2021-08, Vol.9 (16), p.1984, Article 1984
Hauptverfasser: Cherniha, Roman, Davydovych, Vasyl'
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
diffusive Lotka–Volterra system
exact solution
Exact solutions
Food science
Jargon
Mathematics
Methods
nonclassical symmetry
Ordinary differential equations
Partial differential equations
Physical Sciences
Q-conditional symmetry of the first type
Science & Technology
Symmetry
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Beschreibung
Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9161984