Abstract and Applied Analysis
Volume 2006 (2006), Article ID 81265, 23 pages
doi:10.1155/AAA/2006/81265
Existence of global solution and nontrivial steady states for a system modeling chemotaxis
Zhenbu Zhang
School of Information and Electronics Engineering, Shandong Institute of Business and Technology, Yantai 264005, Shandong, China
Abstract
We consider a reaction-diffusion system modeling chemotaxis, which describes the situation of two species of bacteria competing for the same nutrient. We use Moser-Alikakos iteration to prove the global existence of the solution. We also study the existence of nontrivial steady state solutions and their stability.