A maximum principle for diffusive Lotka-Volterra systems of two competing species
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Publication:306240
DOI10.1016/j.jde.2016.07.001zbMath1347.35050arXiv1509.00071OpenAlexW2964295584MaRDI QIDQ306240
Li-Chang Hung, Chuin Chuan Chen
Publication date: 31 August 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00071
Maximum principles in context of PDEs (35B50) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58)
Related Items (10)
An \(N\)-barrier maximum principle for autonomous systems of \(n\) species and its application to problems arising from population dynamics ⋮ Estimates of population size for traveling wave solutions of spatially non-local Lotka-Volterra competition system ⋮ An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems ⋮ N-barrier maximum principle for degenerate elliptic systems and its application ⋮ Stacked invasion waves in a competition-diffusion model with three species ⋮ Nonlinear estimates for traveling wave solutions of reaction diffusion equations ⋮ The Numerical Analysis of the Long Time Asymptotic Behavior for Lotka-Volterra Competition Model with Diffusion ⋮ Discrete N-barrier maximum principle for a lattice dynamical system arising in competition models ⋮ Lotka--Volterra Competition Model on Graphs ⋮ Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system
Cites Work
- Nonexistence of traveling wave solutions, exact and semi-exact traveling wave solutions for diffusive Lotka-Volterra systems of three competing species
- Traveling wave solutions for Lotka-Volterra system re-visited
- Exact traveling wave solutions for diffusive Lotka-Volterra systems of two competing species
- Exact travelling wave solutions of three-species competition-diffusion systems
- Exact solutions of a competition-diffusion system
- Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system
- Exclusive traveling waves for competitive reaction-diffusion systems and their stabilities
- Parameter Dependence of Propagation Speed of Travelling Waves for Competition-Diffusion Equations
- Fisher wave fronts for the Lotka-Volterra competition model with diffusion
- Exact solutions of reaction-diffusion systems and nonlinear wave equations
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