| Abstract: |
| This work is concerned with the question that ``how far does small chemotactic interaction perturb the Fisher--KPP dynamics?``. A chemotaxis system with logistic source was studied by e.g., Winkler (2010, 2014) and Zheng (2016). However, there are still many open problems about the chemotaxis system. On the other hand, the Fisher--KPP system has been studied extensively. Thus the development of this work will enable us to see new properties of solutions for the chemotaxis system. The main result of this talk gives convergence of solutions for the chemotaxis system to solutions for the Fisher--KPP system on bounded convex domains. |
|