In the present paper, we investigate a reaction-diffusion system with feedback effect subject to the homogeneous Neumann boundary condition and study the positive steady-state solutions. We establish a priori estimates for positive steady-state solutions and derive some results for non-existence of positive non-constant steady-state solutions. Our analysis complements the existing results on this model. © 2010 Elsevier Inc. All rights reserved.
Dong, W., Wei, Z., & Pang, C. (2010). A note on positive non-constant steady-state solutions to a reaction-diffusion model. Applied Mathematics and Computation, 217(8), 4234–4238. https://doi.org/10.1016/j.amc.2010.10.038