Analytical properties and exact solutions of the Lotka–Volterra competition system

Nikolay A. Kudryashov and Anastasia S. Zakharchenko

Applied Mathematics and Computation, 2015, vol. 254, issue C, 219-228

Abstract: The Lotka–Volterra competition system with diffusion is considered. The Painlevé property of this system is investigated. Exact traveling wave solutions of the Lotka–Volterra competition system are found. Periodic solutions expressed in terms of the Weierstrass elliptic function are also given.

Keywords: Lotka–Volterra competition system; Exact solution; Nonlinear differential equation; System of equations; Reaction–diffusion equations; Logistic-function method (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:254:y:2015:i:c:p:219-228

DOI: 10.1016/j.amc.2014.12.113

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