Traveling wave solutions in n-dimensional delayed nonlocal diffusion system with mixed quasimonotonicity

DOI10.1142/S0219530514500055zbMath1308.35051MaRDI QIDQ5496340

Rui Liu, Weifang Yan

Publication date: 30 January 2015

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

nonlocal diffusiontraveling wave solutionupper-lower solutionscross iteration schememixed quasimonotonicityfour-species Lotka-Volterra model

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Traveling wave solutions (35C07) Integro-partial differential equations (35R09)

Cites Work

• Traveling waves in a nonlocal diffusion system with delays and partial quasi-monotonicity
• Existence and critical speed of traveling wave fronts in a modified vector disease model with distributed delay
• Travelling wave fronts in nonlocal delayed reaction-diffusion systems and applications
• Traveling wave solutions in delayed reaction-diffusion systems with mixed monotonicity
• Traveling wave fronts of delayed non-local diffusion systems without quasimonotonicity
• Existence and nonexistence of monotone traveling waves for the delayed Fisher equation
• Travelling waves of a three-species Lotka-Volterra food-chain model with spatial diffusion and time delays
• Traveling wave solutions in delayed nonlocal diffusion systems with mixed monotonicity
• Traveling wave solutions in delayed diffusion systems via a cross iteration scheme
• Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Traveling wave solutions in \(n\)-dimensional delayed reaction-diffusion systems with mixed monotonicity
• Traveling waves in delayed predator-prey systems with nonlocal diffusion and stage structure
• EXACT AND APPROXIMATE TRAVELING WAVES OF REACTION-DIFFUSION SYSTEMS VIA A VARIATIONAL APPROACH
• TRAVELLING WAVE SOLUTIONS IN NONLOCAL REACTION–DIFFUSION SYSTEMS WITH DELAYS AND APPLICATIONS
• LYAPUNOV FUNCTIONALS IN SINGULAR LIMITS FOR PERTURBED QUASILINEAR DEGENERATE PARABOLIC EQUATIONS
• Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
• NEW EXACT SOLUTIONS OF SPATIALLY AND TEMPORALLY VARYING REACTION-DIFFUSION EQUATIONS
• NON-MONOTONIC TRAVELING WAVES IN VAN DER WAALS FLUIDS
• Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
• Traveling wave fronts of reaction-diffusion systems with delay

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