The Keller-Segel Model with Logistic Sensitivity Function and Small Diffusivity

@article{Dolak2005TheKM,
  title={The Keller-Segel Model with Logistic Sensitivity Function and Small Diffusivity},
  author={Yasmin Dolak and Christian Schmeiser},
  journal={SIAM Journal of Applied Mathematics},
  year={2005},
  volume={66},
  pages={286-308}
}
Abstract. The Keller-Segel model is the classical model for chemotaxis of cell populations. It consists of a drift-diffusion equation for the cell density coupled to an equation for the chemoattractant. Here a variant of this model is studied in one-dimensional position space, where the chemotactic drift is turned off for a limiting cell density by a logistic term and where the chemoattractant density solves an elliptic equation modeling a quasistationary balance of reaction and diffusion with… CONTINUE READING
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