A note on positive non-constant steady-state solutions to a reaction–diffusion model

• Published in: Applied mathematics and computation Vol. 217; no. 8; pp. 4234 - 4238
• Main Authors: Dong, Wei, Wei, Zhongli, Pang, Changci
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 15.12.2010; Elsevier
• Subjects: A reaction–diffusion model; Boundary conditions; Complement; Computation; Estimates; Exact sciences and technology; Feedback; Feedback effect; Mathematical analysis; Mathematical models; Mathematics; Non-existence; Numerical analysis; Numerical analysis. Scientific computation; Positive steady states; Sciences and techniques of general use; Non-existence; A reaction–diffusion model; Feedback effect; Positive steady states; Boundary condition; Reaction diffusion equation; Steady state; A reaction-diffusion model; Numerical analysis; Feedback; Applied mathematics; Positive solution; A priori estimation; Steady state solution

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...