scholarly journals Positive Steady-State Solutions of a Competing Reaction-Diffusion System

1995 ◽  
Vol 117 (2) ◽  
pp. 411-427 ◽  
Author(s):  
W.H. Ruan ◽  
C.V. Pao
Keyword(s):  
Steady State ◽  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Positive Steady State ◽  
Steady State Solutions

scholarly journals Existence of global solution and nontrivial steady states for a system modeling chemotaxis

2006 ◽  
Vol 2006 ◽  
pp. 1-23 ◽  
Author(s):  
Zhenbu Zhang
Keyword(s):  
Steady State ◽  
Global Existence ◽  
Global Solution ◽  
System Modeling ◽  
Reaction Diffusion ◽  
Steady States ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Steady State Solutions

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.

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