Novel stability results for traveling wavefronts in an age-structured reaction-diffusion equation

DOI10.3934/MBE.2009.6.743zbMath1180.35094OpenAlexW2312624650WikidataQ51783852 ScholiaQ51783852MaRDI QIDQ2654124

Yau Shu Wong, Ming Mei

Publication date: 15 January 2010

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2009.6.743

zbMATH Keywords

exponential decay ratelarge delaytime-delayed reaction-diffusion equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Traveling wave solutions (35C07)

Related Items (9)

Traveling waves for time-delayed reaction diffusion equations with degenerate diffusion ⋮ Global stability of traveling waves for nonlocal time-delayed degenerate diffusion equation ⋮ Global stability of traveling wave fronts for non-local delayed lattice differential equations ⋮ Nonlinear stability of traveling wavefronts in an age-structured population model with nonlocal dispersal and delay ⋮ Patterns in a nonlocal time-delayed reaction-diffusion equation ⋮ Stability of traveling wavefronts for a delayed lattice system with nonlocal interaction ⋮ Spreading speeds and traveling waves for a nonlocal dispersal equation with convolution-type crossing-monostable nonlinearity ⋮ Theoretical and numerical studies on global stability of traveling waves with oscillations for time-delayed nonlocal dispersion equations ⋮ Asymptotic stability of non-monotone traveling waves for time-delayed nonlocal dispersion equations

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