Analytical properties and exact solutions of the Lotka-Volterra competition system (Q1643365)

scientific article

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English	Analytical properties and exact solutions of the Lotka-Volterra competition system	scientific article

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instance of

scholarly article

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title

Analytical properties and exact solutions of the Lotka-Volterra competition system (English)

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author

Anastasia S. Zakharchenko

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Nikolay A. Kudryashov

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published in

Applied Mathematics and Computation

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publication date

19 June 2018

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full work available at URL

https://arxiv.org/abs/1409.6903

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zbMATH Keywords

Lotka-Volterra competition system

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exact solution

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nonlinear differential equation

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system of equations

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reaction-diffusion equations

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logistic-function method

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describes a project that uses

ATFM

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MaRDI profile type

MaRDI publication profile

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cites work

Mathematical biology. Vol. 2: Spatial models and biomedical applications.

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Existence and stability of travelling wave solutions of competition models. A degree theoretic approach

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Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations

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The sign of the wave speed for the Lotka-Volterra competition-diffusion system

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The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model.

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The minimal speed of traveling fronts for the Lotka-Volterra competition system

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Fisher wave fronts for the Lotka-Volterra competition model with diffusion

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Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems

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Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays

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Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays

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Traveling waves for a Lotka-Volterra competition system with diffusion

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Travelling wave solutions in diffusive and competition-cooperation systems with delays

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Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system

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Wave propagation for a two-component lattice dynamical system arising in strong competition models

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

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Recent developments on wave propagation in 2-species competition systems

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Entire solutions for a two-component competition system in a lattice

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An Entire Solution to the Lotka–Volterra Competition-Diffusion Equations

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Entire solutions of a diffusive and competitive Lotka–Volterra type system with nonlocal delays

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Exact solutions of a competition-diffusion system

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A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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A connection between nonlinear evolution equations and ordinary differential equations of P-type. II

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The tanh method: I. Exact solutions of nonlinear evolution and wave equations

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An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations

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Solitary wave solution for the generalized Kawahara equation

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Simplest equation method to look for exact solutions of nonlinear differential equations

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Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

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Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation

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The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics

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A note on the \(G'/G\)-expansion method

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On modified method of simplest equation for obtaining exact and approximate solutions of nonlinear PDEs: The role of the simplest equation

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Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method

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Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations

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One method for finding exact solutions of nonlinear differential equations

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Polynomials in logistic function and solitary waves of nonlinear differential equations

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A note on solutions of the generalized Fisher equation

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Painlevé analysis and exact solutions for the Belousov-Zhabotinskii reaction-diffusion system

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Painlevé analysis and exact solutions of a predator–prey system with diffusion

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Q3103923

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Quasi-exact solutions of nonlinear differential equations

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Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation

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Identifiers

zbMATH Open document ID

1410.35018

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DOI

10.1016/j.amc.2014.12.113

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1643365