| Abstract: |
| This work is concerned with the question ``how far does small chemotactic interaction perturb the Lotka--Volterra competition dynamics?``. A two-species chemotaxis-competition model was studied by e.g., Bai--Winkler (2016) and Lin--Mu--Wang (2015); however, there are still many open problems. On the other hand, the Lotka--Volterra competition model 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 uniform-in-time convergence of solutions for the two-species chemotaxis-competition system to those for the Lotka--Volterra competition model. |
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