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- W2017990358 abstract "We study the stationary solutions for a reaction-diffusion system of activator-inhibitor type which arises as a model for fungal development. Under the condition that the activator diffuses slowly and the inhibitor diffuses very quickly we rigorously construct solutions which show single peak pattern near the boundary or in the interior in the activator component and have nearly constant values in the other. We also establish the linear stability and instability of such solutions. Nous étudions les solutions stationnaires pour un système de réaction-diffusion du type catalyseur-inhibiteur venant d'un modèle de développement fongique. Sous les conditions que la diffusion du catalyseur est lente et celle de l'inhibiteur est très rapide, nous construisons des solutions telles que le catalyseur admet un unique maximum sur le bord ou bien à l'intérieur, tandis que l'autre est presque constant. Nous établissons aussi la stabilité et l'instabilité linéaire de ces solutions." @default.
- W2017990358 created "2016-06-24" @default.
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- W2017990358 date "1999-01-01" @default.
- W2017990358 modified "2023-10-17" @default.
- W2017990358 title "Point condensations of a model for fungal development" @default.
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- W2017990358 doi "https://doi.org/10.1016/s0764-4442(99)80150-5" @default.
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