Reveals spatial segregation in solutions of a chemotaxis-competition model, suggesting significant implications for species interaction dynamics.
This paper is concerned with a chemotaxis-competition system modeling the spatiotemporal evolution of two species that proliferate and compete according to Lotka–Volterra-type kinetics. We study the asymptotic behavior of solutions in the case of strong competition and show that they spatially segregate as the competition rate tends to infinity. Moreover, using a blow-up method, we obtain the uniform Hölder continuity of the solutions.
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Xie et al. (2026) studied this question.
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