Analytical properties and exact solutions of the Lotka--Volterra\n competition system

2014/09/24 by Nikolay A. Kudryashov, Kudryashov, Nikolay A., А. С. Захарченко +1
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1409.6903

openalex publication_date 2014/09/24 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

The Lotka--Volterra competition system with diffusion is considered. The\nPainlev 'e property of this system is investigated. Exact traveling wave\nsolutions of the Lotka--Volterra competition system are found. Periodic\nsolutions expressed in terms of the Weierstrass elliptic function are also\ngiven.\n

Citations

• Traveling wave front for a two-component lattice dynamical system arising in competition models

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