Lower Bounds of Finite-Time Blow-Up of Solutions to a Two-Species Keller-Segel Chemotaxis Model
DOI:
https://doi.org/10.5890/JAND.2021.03.005Abstract
In this paper, we investigate the blow-up phenomena of non-negative solutions of a two-species Keller-Segel chemotaxis model with Lotka-Volterra competitive source terms. We estimate the lower bounds for the blow-up time of solutions of the model under the Neumann boundary conditions in a bounded domain $\Omega\subset\mathbb{R}^n, n\geq 1$. The first-order differential inequality technique is applied to determine the results in various space dimensions by using different auxiliary functions.References
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