Year: 2026
Type: article
Abstract: 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.
Source: Mathematics
DOI: 10.3390/math14081303
Authors: Daojie Xie, Shan Zhang
Institution: Nanjing University of Finance and Economics
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7154147073
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