Exclusive traveling waves for competitive reaction-diffusion systems and their stabilities
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Publication:2473948
DOI10.1016/j.jmaa.2007.05.066zbMath1143.35072OpenAlexW2076158164MaRDI QIDQ2473948
Anthony W. Leung, Yi Li, Xiaojie Hou
Publication date: 5 March 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.066
stabilityBanach spacesexistencetraveling waveupper-lower solutions methodsolutions joining equilibria
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)
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Cites Work
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- Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations
- Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
- Propagating fronts for competing species equations with diffusion
- Geometric theory of semilinear parabolic equations
- On the nonlinear dynamics of travelling fronts
- On the stability of waves of nonlinear parabolic systems
- Travelling waves in a model of species migration
- Traveling wave solutions of a reaction diffusion model for competing pioneer and climax species
- Travelling fronts in cylinders
- Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays
- A mathematical analysis on public goods games in the continuous space
- EXISTENCE OF MULTIDIMENSIONAL TRAVELLING WAVES AND SYSTEMS OF WAVES
- Traveling Wave Solutions of Diffusive Lotka-Volterra Equations: A Heteroclinic Connection in R 4
- Traveling Wave Solutions to Combustion Models and Their Singular Limits
- Local stability of critical fronts in nonlinear parabolic partial differential equations
- Front Propagation in Heterogeneous Media
- The existence of travelling plane waves in a general class of competition-diffusion systems
- Exactly Solvable Models of Biological Invasion
- Traveling wave fronts of reaction-diffusion systems with delay