| Abstract: |
| This talk deals with a diffusive Lotka--Volterra competition model with chemotaxis. In 2012 Tello--Winkler (Nonlinearity; 2012: 25; 1413--1425) proposed a diffusive Lotka--Volterra competition model having chemotaxis terms. As to this model, boundedness of solutions was obtained under conditions that chemotactic effect is small by e.g. Tello--Winkler (2012) and Mizukami (Math. Methods Appl.\ Sci.; 2018; 41; 234--249). However, it is not clear whether solutions remain bounded or not in the case that chemotactic effect is large. The purpose of this talk is to discuss this question in a generalized diffusive Lotka--Volterra competition model with chemotaxis. |
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