Global existence and boundedness of classical solutions for a chemotaxis model with consumption of chemoattractant and logistic source |
| |
Authors: | Khadijeh Baghaei Ali Khelghati |
| |
Institution: | 1. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran;2. Department of mathematics, Payame Noor University, Tehran, Iran |
| |
Abstract: | This paper deals with the following chemotaxis system: under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary. Here, δ and χ are some positive constants and f is a smooth function that satisfies with some constants a ?0,b > 0, and γ > 1. We prove that the classical solutions to the preceding system are global and bounded provided that Copyright © 2016 John Wiley & Sons, Ltd. |
| |
Keywords: | chemotaxis logistic source global solution boundedness |
|
|