| Abstract: |
| Chemotaxis, the directed movement of mobile species in response to chemical signal in their environment, is now well-known to play important roles in many biological applications like tumor invasion, disease progression, predator-predation, epidemic propagation etc. A prototypical mathematical model for the description of such chemotactic dynamics was proposed by Keller and Segel in 1970 already and has been intensively investigated since then. A striking feature of such type model is the potential to lead to chemotactic aggregation/collapse as well as pattern formation. In this talk, we shall take up a couple of models in which chemotaxis plays an essential role, and then we survey qualitative and quantitative properties to understand the underlying chemotaxis mechanism from modeling and analysis point of view. |
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