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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Lower Bounds of Finite-Time Blow-Up of Solutions to a Two-Species Keller-Segel Chemotaxis Model

Journal of Applied Nonlinear Dynamics 10(1) (2021) 81--93 | DOI:10.5890/JAND.2021.03.005

G. Sathishkumar$^1$, L. Shangerganesh$^2$, S. Karthikeyan$^1$

$^1$ Department of Mathematics, Periyar University, Salem, 636 011, India normalsize

$^2$ Department of Applied Sciences, National Institute of Technology, Goa, 403 401, India

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Abstract

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.

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