Exponential stability of traveling waves for a reaction advection diffusion equation with nonlinear-nonlocal functional response

DOI10.1155/2017/4614925zbMath1401.35190OpenAlexW2767225209WikidataQ115522042 ScholiaQ115522042MaRDI QIDQ1784878

Rui Yan, Guirong Liu

Publication date: 27 September 2018

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/4614925

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

Cites Work

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• Exponential stability of traveling fronts in monostable reaction-advection-diffusion equations with non-local delay
• The asymptotic speed of spread and traveling waves for a vector disease model
• Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations
• Traveling fronts in monostable equations with nonlocal delayed effects
• Stability of traveling waves with criticals speeds for \(P\)-degree Fisher-type equations
• Traveling wavefronts for time-delayed reaction-diffusion equation. I: Local nonlinearity
• Traveling wavefronts for time-delayed reaction-diffusion equation. II: Nonlocal nonlinearity
• On the existence of traveling waves for delayed reaction-diffusion equations
• A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
• Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects
• Monotone travelling fronts in an age-structured reaction-diffusion model of a single species
• Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay
• Stability of strong travelling waves for a non-local time-delayed reaction–diffusion equation
• Asymptotic Behavior and Traveling Wave Solutions for Parabolic Functional Differential Equations
• Local stability of critical fronts in nonlinear parabolic partial differential equations
• A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
• Stability of steady states and existence of travelling waves in a vector-disease model
• Wavefronts and global stability in a time-delayed population model with stage structure
• Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion
• Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
• Global Stability of Monostable Traveling Waves For Nonlocal Time-Delayed Reaction-Diffusion Equations
• Existence and Stability of Traveling Waves in Buffered Systems
• TheKolmogorov Legacy in Physics

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