An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems
From MaRDI portal
Publication:1671097
DOI10.3934/dcdsb.2018054zbMath1404.35072arXiv1509.00278OpenAlexW2962764184MaRDI QIDQ1671097
Li-Chang Hung, Chuin Chuan Chen
Publication date: 6 September 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00278
Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Second-order elliptic systems (35J47) Traveling wave solutions (35C07)
Related Items (2)
Estimates of population size for traveling wave solutions of spatially non-local Lotka-Volterra competition system ⋮ Discrete N-barrier maximum principle for a lattice dynamical system arising in competition models
Cites Work
- A maximum principle for diffusive Lotka-Volterra systems of two competing species
- Nonexistence of traveling wave solutions, exact and semi-exact traveling wave solutions for diffusive Lotka-Volterra systems of three competing species
- Semi-exact equilibrium solutions for three-species competition-diffusion systems
- Coexistence of three competing species with non-negative cross-diffusion rate
- Persistence and extinction in three species Lotka-Volterra competitive systems
- Exact traveling wave solutions for diffusive Lotka-Volterra systems of two competing species
- Revising the role of species mobility in maintaining biodiversity in communities with cyclic competition
- Exact travelling wave solutions of three-species competition-diffusion systems
- Can a species keep pace with a shifting climate?
- Traveling wave solutions for a competitive reaction-diffusion system and their asymptotics
- The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
- Some mathematical problems concerning the ecological principle of competitive exclusion
- Segregating partition problem in competition-diffusion systems
- Range of validity of \(\alpha\) and \(\beta\) for a generalized diversity index \(H(\alpha,\beta)\) due to Good
- An \(N\)-barrier maximum principle for autonomous systems of \(n\) species and its application to problems arising from population dynamics
- N-barrier maximum principle for degenerate elliptic systems and its application
- A note on a nonautonomous O.D.E. related to the Fisher equation
- On the wave front solution of a competition--diffusion system in population dynamics
- Competitive exclusion and coexistence in a Leslie–Gower competition model with Allee effects
- Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage
- On a conjecture for three-dimensional competitive Lotka-Volterra systems with a heteroclinic cycle
- Differential equations and convergence almost everywhere in strongly monotone semiflows
- Stationary solutions of non-autonomous Kolmogorov–Petrovsky–Piskunov equations
- Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
- Propagation of frontal polymerization—crystallization waves
- Competition for a Single Limiting Resource in Continuous Culture: The Variable-Yield Model
- On Competition-Mediated Coexistence
- Three-Dimensional Competitive Lotka--Volterra Systems with no Periodic Orbits
- Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
- Long-time behaviour for reaction-diffusion equations on
- Existence of wave front solutions and estimates of wave speed for a competition-diffusion system
- The integration of three-dimensional Lotka–Volterra systems
- Measurement of Diversity
- THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
- Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species
This page was built for publication: An \(N\)-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems
