Speed selection and stability of wavefronts for delayed monostable reaction-diffusion equations

DOI10.1007/s10884-015-9482-6zbMathNonearXiv1412.3129OpenAlexW3101550570MaRDI QIDQ330553

Abraham Solar, Sergei I. Trofimchuk

Publication date: 26 October 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3129

zbMATH Keywords

delayasymptotic stabilityreaction-diffusion equationwavefrontmonostable equationspeed selectionsuper- and sub-solutions

Mathematics Subject Classification ID

Partial differential equations (35-XX)

Related Items (11)

Monotone waves for non-monotone and non-local monostable reaction-diffusion equations ⋮ Wavefront’s stability with asymptotic phase in the delayed monostable equations ⋮ Determining spreading speeds for abstract time-periodic monotone semiflows ⋮ Propagation thresholds in a diffusive epidemic model with latency and vaccination ⋮ Delay-induced instabilities of stationary solutions in a single species nonlocal hyperbolic-parabolic population model ⋮ An estimation of level sets for non local KPP equations with delay ⋮ An iterative estimation for disturbances of semi-wavefronts to the delayed Fisher-KPP equation ⋮ Global stability of travelling waves for a class of monostable epidemic models ⋮ Traveling waves in delayed reaction-diffusion equations in biology ⋮ Global asymptotic stability of pushed traveling fronts for monostable delayed reaction-diffusion equations ⋮ Stability of semi-wavefronts for delayed reaction-diffusion equations

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